@incollection{MSMF_1972__31-32__285_0, author = {Pietsch, Albrecht}, title = {Absolutely $p$-summing operators in ${\mathcal {L}}_r$-spaces}, booktitle = {Colloque d'analyse fonctionnelle (Bordeaux, 1971)}, series = {M\'emoires de la Soci\'et\'e Math\'ematique de France}, pages = {285--315}, publisher = {Soci\'et\'e math\'ematique de France}, number = {31-32}, year = {1972}, doi = {10.24033/msmf.94}, mrnumber = {51 #13743}, zbl = {0244.47020}, url = {http://www.numdam.org/articles/10.24033/msmf.94/} }
TY - CHAP AU - Pietsch, Albrecht TI - Absolutely $p$-summing operators in ${\mathcal {L}}_r$-spaces BT - Colloque d'analyse fonctionnelle (Bordeaux, 1971) AU - Collectif T3 - Mémoires de la Société Mathématique de France PY - 1972 SP - 285 EP - 315 IS - 31-32 PB - Société mathématique de France UR - http://www.numdam.org/articles/10.24033/msmf.94/ DO - 10.24033/msmf.94 ID - MSMF_1972__31-32__285_0 ER -
%0 Book Section %A Pietsch, Albrecht %T Absolutely $p$-summing operators in ${\mathcal {L}}_r$-spaces %B Colloque d'analyse fonctionnelle (Bordeaux, 1971) %A Collectif %S Mémoires de la Société Mathématique de France %D 1972 %P 285-315 %N 31-32 %I Société mathématique de France %U http://www.numdam.org/articles/10.24033/msmf.94/ %R 10.24033/msmf.94 %F MSMF_1972__31-32__285_0
Pietsch, Albrecht. Absolutely $p$-summing operators in ${\mathcal {L}}_r$-spaces, dans Colloque d'analyse fonctionnelle (Bordeaux, 1971), Mémoires de la Société Mathématique de France, no. 31-32 (1972), pp. 285-315. doi : 10.24033/msmf.94. http://www.numdam.org/articles/10.24033/msmf.94/
[1] Lois stables et espaces Lp, Ann. Inst. Henri Poincaré B, 2 (1966) 231-259. | Numdam | MR | Zbl
, et :[2] Absolutely p-summing, p-nuclear operators and their conjugates, Dissertation, Maryland 1969.
:[3] Absolutely p-summing operators in Hilbert spaces, Studia Math. 38 (1970) 319-331. | MR | Zbl
:[4] Limit distributions for sums of independent random variables, Cambridge Mass. 1954. | MR | Zbl
and :[5] Résumé de la théorie métrique des produits tensoriels topologiques, Boletim Soc. Mat. Sao Paulo 8 (1956) 1-79. | MR | Zbl
:[6] A remark on p-absolutely summing operators in lr-spaces, Studia Math. 34 (1970) 109-111. | MR | Zbl
:[7] On a theorem of L. Schwartz and its applications to absolutely summing operators, Studia Math. 38 (1970) 193-201. | MR | Zbl
:[8] Absolutely summing operators in Lp-spaces and their applications, Studia Math. 29 (1968) 275-326. | MR | Zbl
and :[9] A characterization of Hilbert-Schmidt operators, Studia Math. 28 (1967) 355-360. | MR | Zbl
:[10] p-nukleare und p-integrale Abbildungen in Bana räumen, Studia Math. 33 (1969) 19-62. | MR | Zbl
and :[11] Absolut-p-summierende Abbildungen in normierten Räumen, Studia Math. 28 (1967) 333-353. | MR | Zbl
:[12] Applications p-sommantes et p-décomposantes, C.R. Acad. Sc. Paris 270 A (1970) 1093-1096. | MR | Zbl
: : C.R. Acad. Sc. Paris 268 A (1969) 1410-1413, 1612-1615. |[14] Applications radonifiantes, Séminaire d'Analyse de l'Ecole Polytechnique, Paris 1969-1970.
:[15] Applications p-radonifiantes et théorème de dualité, Studia Math. 38 (1970) 203-213. | MR | Zbl
:[16] Relations between some constants associated with finite dimensional Banach spaces, Israel J. Math. 9 (1971) 346-361. | MR | Zbl
and :[17] On the projection and Macphail constants of 1pn-spaces, Israel J. Math. 6 (1968) 295-302. | MR | Zbl
:[18] On p-absolutely summing constants of Banach spaces, Israel J. Math. 7 (1969) 151-163. | MR | Zbl
:[19] Projections constants, Trans. Amer. Math. Soc. 95 (1960) 451-465. | MR | Zbl
:[20] On bounded bilinear forms in an infinite numbers of variables, Quart. J. Math. (Oxford) 1 (1930) 164-174. | JFM
:[21] p-integral operators commuting with group representations and examples of quasi-p-integral operators which are not p-integral, Studia Math. 33 (1969) 19-62. | MR | Zbl
:[22] Some parameters associated with finite dimensional Banach spaces, J. London Math. Soc. 40 (1965) 241-255. | MR | Zbl
:[23] Zbl
: C.R. Acad. Sc. Paris 266 A (1968) 526-528, 809-811 ; 268 A (1969) 528-531. |[24] Produits tensoriels d'espaces de Banach et classes d'applications linéaires, Studia Math. 38 (1970) 71-100. | MR | Zbl
:[25] Measures cylindriques et applications radonifiantes dans les espaces de suites, Proc. Int. Conf. Funct. Analysis and Rel. Topics, Tokyo 1969. | Zbl
:[26] Diagonal nuclear operators in lp spaces, Trans. Amer. Math. Soc. 143 (1969) 235-247. | MR | Zbl
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