@article{SC_1977__17_1_A6_0, author = {Rogalski, Marc}, title = {Que sont les facteurs directs des espaces de {Banach} classiques ?}, journal = {S\'eminaire Choquet. Initiation \`a l'analyse}, note = {talk:13}, pages = {1--40}, publisher = {Secr\'etariat math\'ematique}, volume = {17}, number = {1}, year = {1977-1978}, zbl = {0412.46013}, language = {fr}, url = {http://www.numdam.org/item/SC_1977__17_1_A6_0/} }
TY - JOUR AU - Rogalski, Marc TI - Que sont les facteurs directs des espaces de Banach classiques ? JO - Séminaire Choquet. Initiation à l'analyse N1 - talk:13 PY - 1977-1978 SP - 1 EP - 40 VL - 17 IS - 1 PB - Secrétariat mathématique UR - http://www.numdam.org/item/SC_1977__17_1_A6_0/ LA - fr ID - SC_1977__17_1_A6_0 ER -
Rogalski, Marc. Que sont les facteurs directs des espaces de Banach classiques ?. Séminaire Choquet. Initiation à l'analyse, Tome 17 (1977-1978) no. 1, Exposé no. 13, 40 p. http://www.numdam.org/item/SC_1977__17_1_A6_0/
[1] On symmetric basic sequences in Lorentz sequence spaces. - Israel J. Math., t. 15, 1973, p. 140-155. | MR | Zbl
, and . -[2] Quotients of C([0 , 1]) with separable dual, Bull. Amer. math. Soc., t. 83, 1977, p. 1057-1059. | MR | Zbl
. -[3] Primariness of spaces of continuous fonctions on ordinals. - Israel J. Math., t. 27, 1977, p. 64-92. | MR | Zbl
and . -[4] On the structure of separable Lp spaces (1 < p < ∞) , Studia Math., Warszawa, t. 60, 1977, p. 79-90. | Zbl
, and . -[5] Projections onto continuous function spaces, Proc. Amer. math. Soc., t. 15, 1964, p. 396-402. | MR | Zbl
. -[6] On isomorphisms of continuous function spaces, Israel J. Math., t. 3, 1965, p. 205-210. | MR | Zbl
. -[7] On injections and surjections of continuous function spaces, Israel J. Math., t. 15, 1973, p. 301-310. | MR | Zbl
and . -[8] The structure of weakly compact sets in Banach spaces, Annals of Math., Series 2, t. 88, 1968, p. 35-46. | MR | Zbl
and . -[9] Projections in the space of bounded linear operators, Pacific J. of Math., t. 15, 1965, p. 739-746. | MR | Zbl
and . -[10] Théorie des opérations linéaires. - Warszawa, Subwencji Funduszu Kultury Narodowej, 1932. (Monografje Matematyczne, 1). | JFM | Zbl
. -[11] An extension theorem for separable Banach spaces (à paraître). | Zbl
. -[12] A predual of l1 which is not isomorphic to a C(K) space, Israel J. Math., t. 13, 1972, p. 246-254. | MR | Zbl
and . -[13] On uncomplemented subspaces of Lp, 1 < p < 2 , Israel J. Math., t. 26, 1977, p. 178-187. | MR | Zbl
, , , ... -[14] On bases and unconditional convergence of series in Banach spaces, Studia Math., Warszawa, t. 7, 1958, p. 151-164. | MR | Zbl
and . -[15] Spaces of continuous functions. IV : On isomorphical classification of spaces of continuous functions, Studia Math., Warszawa, t. 19, 1960, p. 53-62. | MR | Zbl
and . -[16] Bases dans H et bases de sous-espaces de dimension finie dans A, "Linear operators and approximation. Proceedings of the Conference held at the Oberwolfach mathematical Research Institute, 1971", p. 310-324. - Basel, Birkhäuser Verlag, 1972 (International Series of numerical Mathematics, 20). | MR | Zbl
. -[17] Sur la primarité des espaces C([1 , α]) , C. R. Acad. Sc. Paris, t. 28, 1975, Série A, p. 629-631. | Zbl
. -[18] Über Isomorphie des Funktionalräume, Bull. intern. Acad. polon. Sc. et Lettres, Série A, 1933, p. 1-10. | JFM | Zbl
. -[19] Existence of a basis in the space of functions analytic in the disk, and some properties of Franklin' s system, Math. of the USSR-Sbornik, t. 24, 1974, p. 1-16 ; [en russe] Mat. Sbornik, t. 95, 1974, p. 3-18. | MR | Zbl
. -[20] Lois stables et espaces Lp , Ann. Inst. Henri Poincaré, Section B, t. 2, 1966, p. 231-259. | Numdam | Zbl
, et ). -[21] On isomorphisms with small bound, Proc. Amer. math. Soc. t. 18, 1967, p. 1062-1066. | MR | Zbl
. -[22] Sous-espaces complémentés de Lp([0 , 1]) , Séminaire Choquet : Initiation à l'Analyse, 17e année, 1977/78, n° 16, 7 p. | Numdam | Zbl
. -[23] Extensions of positive operators between Banach lattices, Memoirs of Amer. math. Soc., t. 164, 1975, p. 1-48. | MR | Zbl
. -[24] James' quasi-reflexive space is primary, Israel J. Math., t. 26, 1977, p. 294-305. | MR | Zbl
. -[25] On some classes of primary Banach spaces, Canad. J. of Math., t. 29, 1977, p. 856-873. | MR | Zbl
, and . -[26] Projections on Banach spaces with symmetric bases, Studia Math., Warszawa, t. 52, 1974, p. 189-193. | MR | Zbl
and . -[27] A bound-two isomorphism between C(X) Banach spaces, Proc. Amer. math. Soc., t. 50, 1975, p. 215-217. | MR | Zbl
. -[28] Applications des ultraproduits à l'étude des espaces et des algèbres de Banach, Studia Math., Warszawa, t. 41, 1972, p. 315-334. | MR | Zbl
et . -[29] Sous-espaces de L1 , Israel J. Math., t. 26, 1977, p. 320-351. | MR | Zbl
et . -[30] The approximation problem for Banach spaces, Bull. London math. Soc., t. 5, 1973, p. 261-266. | MR | Zbl
. -[31] Embedding spaces with unconditional basis, Israel J. Math., t. 20, 1975, p. 189-191. | MR | Zbl
. -[32] Normed linear spaces, 3rd edition. - Berlin, Springer-Verlag, 1973 (Ergebnisse der Mathematik, 21). | MR | Zbl
. -[33] Suites de décomposition d'un espace de Banach à base inconditionnelle. Noyaux d'opérateurs et isométrie définis sur certains espaces d'opérateurs, Thèse de troisième cycle, Lyon, 1978.
. -[34] Geometry of Banach spaces, Selected topics. - Berlin, Springer-Verlag, 1975 (Lecture Notes in Mathematics, 485). | MR | Zbl
. -[35] On a lemma of Milutin concerning averaging operators in continuous function spaces, Trans. Amer. math. Soc., t. 149, 1970, p. 443- 452. | MR | Zbl
. -[36] On absolute retracts, P(S) , and complemented subspaces of C(Dω1) , Studia Math., Warszawa, t. 56, 1976, p. 243-251. | Zbl
and . -[37] Linear operations on summable functions, Trans. Amer. math. Soc. , t. 47, 1940, p. 323-392. | JFM | MR | Zbl
and . -[38] Some results on convex bodies and Banach spaces, "Proceedings of the international symposium on linear spaces, Jerusalem, 1960", p. 123-160. - Jerusalem, Jerusalem Academic Press, 1961 (A publication of the israel Academy of Sciences and Humanities). | MR | Zbl
. -[39] On projections and unconditional bases in direct sums of Banach spaces, Studia Math., Warszawa, t. 56, 1976, p. 263-276. | MR | Zbl
and . -[40] A counterexample to the approximation problem in Banach spaces, Acta Math., Uppsala, t. 130, 1973, p. 309-317. | MR | Zbl
. -[41] Projections contractantes dans C(X) , Séminaire Choquet : Initiation à l'Analyse, 10e année, 1970/71, Communication n° 5, 7 p. | Numdam | MR | Zbl
. -[42] Etude du noyau d'un opérateur défini sur l'espace des suites bornées et applications, Bull. Sc. math., 2e série, t. 100, 1975, p. 45-55. | MR | Zbl
. -[43] Projections sur l'espace des opérateurs compacts, Séminaire Choquet : Initiation à l'Analyse, 15e année, 1975/76, n° 6 (non rédigé).
. -[44] Sur les espaces de Banach ne contenant pas l1 , Math. Scand. (à paraître). | Zbl
. -[45] The approximation property does not imply the bounded approximation property, Proc. Amer. math. Soc., t. 41, 1973, p. 197-200. | MR | Zbl
and . -[46] On symmetric sequence spaces, Proc. London math. Soc., Series 3, t. 16, 1966, p. 85-106. | MR | Zbl
. -[47] A class of reflexive symmetric BK-spaces, Canad. J. of Math., t. 21, 1969, p. 602-608. | MR | Zbl
. -[48] Projections in normed linear spaces, Trans. Amer. math. Soc., t. 69, 1950, p. 89-108. | MR | Zbl
. -[49] Sur les applications linéaires faiblement compactes d'espaces du type C(K) , Canad. J. of Math., t. 5, 1953, p. 129-173. | MR | Zbl
. -[50] Une caractérisation vectorielle-métrique des espaces L1, Canad. J. of Math., t. 7, 1955, p. 552-561. | MR | Zbl
. -[51] Isomorphic classification of spaces of continuous functions on totally ordered bicompacta, Funct. Anal., t. 9, 1975, p. 56-57 ; [en russe] Funkcional. Anal. i Prilizen, t. 9, 1975, p. 61- 62. | MR | Zbl
and . -[52] On the structure of S and C(S) for S dyadic, Trans. Amer. math. Soc., t. 214, 1975, p. 415-428. | MR | Zbl
. -[53] A counterexample to several questions about Banach spaces, Studia Math., Warszawa, t. 60, 1977, p. 289-308. | MR | Zbl
. -[54] Banach spaces whose duals contain complemented subspaces isomorphic to C[0, 1] , J. funct. Analysis, t. 13, 1973, p. 233-251. | MR | Zbl
and . -[55] Injective Banach lattices, Math. Z., t. 156, 1977, p. 19-47. | MR | Zbl
. -[56] Sur les espaces de Banach injectifs qui sont des biduaux, Séminaire Choquet : Initiation à l'Analyse, 16e année, 1976/77, exposé n° 16, 2 p. | Numdam | MR | Zbl
. -[57] Continuous mappings induced by isometries of spaces of continuous function, Studia Math., Warszawa, t. 26, 1966, p. 133-136. | MR | Zbl
. -[58] Projection constants and spaces of continuous functions, Trans. Amer. math. Soc., t. 107, 1963, p. 38-48. | MR | Zbl
and . -[59] A non-reflexive Banach space isometric with its second conjugate space, Proc. Nat. Acad. Sc. U. S. A., t. 37, 1951, p. 174-177. | MR | Zbl
. -[60] Factoring compact operators, Israel J. Math., t. 9, 1971, p. 337-345. | MR | Zbl
. -[61] A complementably universal cunjugate Banach space and its relation to the approximation problem, Israel J. Math., t. 13, 1972, p. 301- 310. | MR | Zbl
. -[62] On bases, finite dimensional décompositions and weaker structures in Banach spaces, Israel J. Math., t. 9, 1971, p. 488-506. | MR | Zbl
, and . -[63] Complementably universal Banach spaces Studia Math., Warszawa, t. 58, 1976, p. 91-97. | MR | Zbl
and . -[64] Separable L1 preduals are quotients of C(Δ) , Israel J. Math., t. 16, 1973, p. 198-202. | Zbl
and . -[65] Sur les sous-espaces complémentés de C(S) , Bull. Sc. math., 2e série, t. 94, 1970, p. 159-163. | MR | Zbl
et ). -[66] On complementably universal Banach spaces, Studia Math., Warszawa, t. 40, 1971, p. 85-89. | MR | Zbl
. -[67] Complemented subspaces in Banach spaces, Russian math. Surveys, t. 28, 1973, fasc. 6, p. 77-95. | MR | Zbl
and . -[68] Some characterizations of Euclidean spaces, Japan J. of Math., t. 16, 1939, p. 93-97. | MR | Zbl
. -[69] Concrete representation of abstract (L)-spaces and the meanergodic theorem, Annals of Math., t. 42, 1941, p. 523-537. | JFM | MR | Zbl
. -[70] Banach spaces with the extension property, Trans. Amer. math. Soc., t. 72, 1952, p. 323-326. | MR | Zbl
. -[71] Über dyadische Brüche , Math. Z., t. 18, 1923, p. 109-116. | JFM | MR
. -[72] Classification of spaces of continuous functions on the ordinals, Siberian math. J., t. 16, 1975, p. 226-231 ; [en russe], Sibirsk. mat. Ž., t. 16, 1975, p. 293-300. | MR | Zbl
. -[73] Hebbare lokalekonvexe Räume, Math. Annalen, t. 165. 1966, p. 181-195. | MR | Zbl
. -[74] Sous-espaces et cônes convexes dans les espaces Lp . Thèse Sc. math., Paris, 1967.
. -[75] Topologie. I, 4e édition. - Warszawa, Panstwowe Wydawnictwo Naukowe, 1958 (Polska Akademia Nauk. Monografie matematycznk, 28). | MR | Zbl
. -[76] On Enflo's example of a Banach space without the approximation property, Séminaire Goulaouic-Schwartz : Equation aux dérivées partielles et analyse fonctionnelle, 1972/73, exposé n° 8, 9 p. | Numdam | Zbl
. -[77] Isomorphisms of continuous function spaces, Studia Math., Warszawa, t. 52, 1975, p. 221-231. | MR | Zbl
. -[78] The isometric theory of the classical Banach spaces. - Berlin, Springer-Verlag, 1974 (Grundlehren der mathematischen Wissenschaften, 208). | MR | Zbl
. -[79] Banach spaces whose duals are L1 spaces and their representing matrices, Acta Math., Uppsala, t. 126, 1971, p. 165-193. | MR | Zbl
and . -[80] Banach spaces whose duals are isomorphic to l1(Γ) , J. funct. Analysis, t. 12, 1973, p. 177-187. | Zbl
and . -[81] Extension of compact operators. - Providence, American mathematical Society, 1964 (Memoirs of the American mathematical Society, 48). | MR | Zbl
. -[82] On complemented subspaces of m , Israel J. Math., t. 5, 1967, p. 153-156. | MR | Zbl
. -[83] A remark on L1-spaces, Israel J. Math., t. 8, 1970, p. 80-82. | MR | Zbl
. -[84] À remark on symmetric bases, Israel J. Math., t. 13, 1972, p. 317-320. | MR | Zbl
. -[85] Weakly compact sets - Their topological properties and the Banach spaces they generate, "Symposium on infinite dimensional topology, Baton Rouge, 1967", p. 235-274. - Princeton, Princeton University Press, 1972 (Annals of Mathematics Studies, 69). | MR | Zbl
. -[86] Absolutely summing operators in Lp-spaces and their applications, Studia Math., Warszawa, t. 29, 1968, p. 275-326. | MR | Zbl
and . -[87] Contribution to the theory of the classical Banach spaces, J. funct. Analysis, t. 8, 1971, p. 225-249. | MR | Zbl
and . -[88] The Lp-spaces, Israel J. Math., t. 7, 1969, p. 325-349. | MR | Zbl
and . -[89] On the complemented subspaces problem, Israel J. Math., t. 9, 1971, p. 263-269. | MR | Zbl
and . -[90] On Orlicz sequence spaces, Israel J. Math., t. 10, 1971, p. 379-390. | MR | Zbl
and . -[91] On Orlicz sequence spaces, II, Israel J. Math., t. 11, 1972, p. 355-379. | MR | Zbl
and . -[92] On Orlicz sequence spaces, III, Israel J. Math., t. 14, 1973, p. 368-389. | MR | Zbl
and . -[93] The uniform approximation property on Orlicz spaces, Israel J. Math., t. 23, 1976, p. 142-155. | MR | Zbl
and . -[94] Classical Banach spaces. - Berlin, Springer-Verlag, 1973 (Lecture Notes in Mathematics, 338). | MR | Zbl
and . -[95] On the classification of the Banach spaces whose duals are L1-spaces, J. funct. Analysis, t. 4, 1969, p. 332- 349. | MR | Zbl
and . -[96] Some new functional spaces, Annals of Math., 2nd Series, t. 51, 1950, p. 37-55. | MR | Zbl
. -[97] Extensions and liftings of positive linear mappings on Banach lattices, Trans. Amer. math. Soc., t. 211, 1975, p. 85-100. | MR | Zbl
. -[98] On homogeneous measure algebras, Proc. Nat. Acad. Sc. U. S. A., t. 28, 1942, p. 108-111. | MR | Zbl
. -[99] Quelques théorèmes sur les séries orthogonales lacunaires, Ann. Soc. polon. Math., t. 17, 1938, p. 51-56. | Zbl
. -[100] Contribution à la topologie des ensembles dénombrables, Fund. Math., Warszawa, t. 1, 1920, p. 17-27. | JFM
et ). -[101] Continuous selections, I, Annals of Math., Series 2, t. 63, 1956, p. 361-382. | MR | Zbl
. -[102] Isomorphisms of spaces of continuous functions..., [en russe], Teor. Funkc., Kharkov, t. 2, 1966, p. 150-156.
-[103] A theorem of the Hahn-Banach type for linear transformations, Trans. Amer. math. Soc., t. 68, 1950, p. 28-46. | MR | Zbl
. -[104] Über eine gewisse Klasse von Räumen vom Typus B , Bull. intern. Acad. polon. Sc., Série A, 1932, p. 207-220. | JFM | Zbl
. -[105] A remarkable series of orthogonal functions, I, Proc. London math. Soc., Series 2, t. 34, 1932, p. 241-264. | JFM | Zbl
. -[106] On the isomorphism of the spaces m and M , Bull. Acad. polon. Sc., Série 3, t. 6, 1958, p. 695-696. | MR | Zbl
. -[107] Projection in certain Banach spaces, Studia Math., Warszawa, t. 19, 1960, p. 209-228. | MR | Zbl
. -[108] Banach spaces on which every unconditionaly converging operator is weakly compact, Bull. Acad. polon. Sc., Série 3, t. 10, 1962, p. 641-648. | MR | Zbl
. -[109] On strictly singular and strictly cosingular operators. I : Strictly singular and strictly cosingular operators in C(S)-spaces, Bull. Acad. polon. Sc., Série 3, t. 13, 1965, p. 31-36. | MR | Zbl
. -[110] Linear extensions, linear averagings and their applications to linear topological classification of spaces of continuous functions, Rozpraw Mat., t. 58, 1968, 92 p. | MR | Zbl
. -[111] On Banach spaces containing L1(μ) , Studia Math., Warszawa, t. 30, 1968, p. 231-246. | Zbl
. -[112] On C(S)-subspaces of separable Banach spaces, Studia Math., Warszawa, t. 31, 1968, p. 513-522. | MR | Zbl
. -[113] Universal bases, Studia Math., Warszawa, t. 32, 1969, p. 247-268. | MR | Zbl
. -[114] Any separable Banach space with the bounded approximation property is a complemented space of a Banach space with a basis, Studia Math., Warszawa, t. 40, 1971, p. 239-243. | MR | Zbl
. -[115] Banach spaces of analytics functions and absolutely summing operators. - Providence, American mathematical Society, 1977 (CBMS Regional Conference, Series in Mathematics, 30). | MR | Zbl
. -[116] Banach spaces with finite dimensional expansions of identity and universal bases of finite dimensional subspaces, Studia Math., Warszawa, t. 40, 1971, p. 91-108. | MR | Zbl
and . -[117] A note on bilinear forms, J. London math. Soc., t. 11, 1936, p. 174-180. | JFM | Zbl
. -[118] Projections onto translation-invariant subspaces of Lp(G) . - Providence, American mathematical Society, 1966 (Memoirs of the American mathematical Society, 63). | MR | Zbl
. -[119] On totally incomparable Banach spaces, J. funct. Analysis, t. 4, 1962, p. 167-175. | MR | Zbl
. -[120] On the subspaces of Lp (p > 2) spanned by sequences of independent random variables, Israel J. Math., t. 8, 1970, p. 273-303. | MR | Zbl
. -[121] On relatively disjoint families of measures with some applications to Banach space theory, Studia Math., Warszawa, t. 37, 1970, p. 13-36. | MR | Zbl
. -[122] On injective Banach spaces and the spaces L∞(μ) for finite measures μ , Acta Math., Uppsala, t. 124, 1970, P. 205-248. | Zbl
. -[123] On factors of C([0 , 1]) with non separable dual, Israel J. Math., t. 3, 1972, p. 361-378. | MR | Zbl
. -[124] A characterization of Banach spaces containing l1 , Proc. Nat. Acad. Sc. U. S. A., t. 71, 1974, p. 2411-2413. | MR | Zbl
. -[125] The Banach spaces C(K) and Lp(μ) , Bull. Amer. math. Soc., t. 81, 1975, p. 763-781. | Zbl
. -[126] Dérivation par rapport à une application. Existence d'éxaves markoviens, Séminaire Choquet : Initiation à l'Analyse, 13e année, 1973/74, Communication n° 2, 9 P. | Numdam | Zbl
. -[127] Sur certains espaces Cσ (S) et sur les sous-espaces complé- mentés de C(S) , Bull. Sc. math., Serie 2, t. 95, 1971, p. 65-82. | Zbl
. -[128] Banach spaces non isomorphic to their cartesian squares, I, Bull. Acad. polon. Sc., 3e série, t. 8, 1960, p. 81-84. | MR | Zbl
. -[129] Local reflexivity and (p , q)-summing maps, Math. Annalen, t. 198, 1972, p. 335-344. | MR | Zbl
. -[130] Projection of the space (m) on its subspace (C0) , Bull. Amer . math. Soc., t. 47, 1941, p. 938-947. | MR | Zbl
. -[131] Banach spaces whose duals contain l1(Γ) with applications to the study of dual L1(μ)-spaces, Trans. Amer. math. Soc., t. 176, 1973, p. 463-477. | Zbl
. -[132] Propriétés locales et ultrapuissances d'espaces de Banach, Séminaire Maurey-Schwartz : Espaces Lp , applications radonifiantes et géométrie des espaces de Banach, 1974/75, Exposés n° 7 et 8, 16 p. et 12 p. | Numdam | Zbl
. -[133] Applications of the theory of Boolean rings to general topology, Trans. Amer. math. Soc., t. 41, 1937, p. 375-481. | JFM | MR | Zbl
. -[134] Embedding Banach spaces with unconditional bases into spaces with symmetric bases, Israel J. Math., t. 15, 1973, p. 53-59. | MR | Zbl
. -[135] Subspaces without approximation property (à paraître). | Zbl
. -[136] The space B(H) has not approximation property ( à paraître).
. -[137] The non-existence of a separable reflexive Banach space universal for all separable reflexive Banach spaces, Studia Math., Warszawa, t. 30, 1968, p. 53-61. | MR | Zbl
. -[138] Espaces de Banach K-analytiques (à paraître).
. -[139] Projections onto the subspaces of compact operators, Pac. J. Math., t. 10, 1960, p. 693-696. | MR | Zbl
. -[140] The uncomplemented subspace K(E , F) , Studia Math., Warszawa, t. 37, 1971, p. 227-236. | MR | Zbl
and . -[141] Short proof of Soczyk's theorem, Proc. Amer. math. Soc. t. 28, 1971, p. 627-628. | MR | Zbl
. -[142] On separable Banach spaces containing all separable reflexive Banach spaces, Studia Math., Warszawa, t. 37, 1970, p. 197-202. | MR | Zbl
. -[143] On complemented subspaces and unconditional bases in lp + lq , Studia Math., Warszawa, t. 47, 1973, p. 197-206. | MR | Zbl
. -[144] Injective Banach spaces of type C(T) , Thèse, Berkeley, 1971.
. -[145] On some subspaces of Banach whose duals are L1-spaces, Proc. Amer. math. Soc., t. 23, 1969, p. 378-385. | MR | Zbl
. -[146] The separable extension problem, Israel J. Math., t. 26, 1977, p. 372-387. | MR | Zbl
. -[147] Trigonometric series, 2nd edition. - Cambridge, University Press, 1959. | MR | Zbl
. -