@article{AIHPB_1981__17_1_1_0, author = {Naik-Nimbalkar, Uttara}, title = {Bochner property in {Banach} spaces}, journal = {Annales de l'institut Henri Poincar\'e. Section B. Calcul des probabilit\'es et statistiques}, pages = {1--19}, publisher = {Gauthier-Villars}, volume = {17}, number = {1}, year = {1981}, mrnumber = {610495}, zbl = {0459.60001}, language = {en}, url = {http://www.numdam.org/item/AIHPB_1981__17_1_1_0/} }
TY - JOUR AU - Naik-Nimbalkar, Uttara TI - Bochner property in Banach spaces JO - Annales de l'institut Henri Poincaré. Section B. Calcul des probabilités et statistiques PY - 1981 SP - 1 EP - 19 VL - 17 IS - 1 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPB_1981__17_1_1_0/ LA - en ID - AIHPB_1981__17_1_1_0 ER -
%0 Journal Article %A Naik-Nimbalkar, Uttara %T Bochner property in Banach spaces %J Annales de l'institut Henri Poincaré. Section B. Calcul des probabilités et statistiques %D 1981 %P 1-19 %V 17 %N 1 %I Gauthier-Villars %U http://www.numdam.org/item/AIHPB_1981__17_1_1_0/ %G en %F AIHPB_1981__17_1_1_0
Naik-Nimbalkar, Uttara. Bochner property in Banach spaces. Annales de l'institut Henri Poincaré. Section B. Calcul des probabilités et statistiques, Tome 17 (1981) no. 1, pp. 1-19. http://www.numdam.org/item/AIHPB_1981__17_1_1_0/
[1] Existence and convergence of probability measures in Banach . spaces, Trans. Amer. Math. Soc., t. 152, 1970, p. 273-298. | MR | Zbl
,[2] Banach spaces of stable type and the generation of stable measures, prepint, 1975.
,[3] Séminaire sur les fonctions aléatoires linéaires et les measures cylindriques, Lecture Notes in Math. (Springer-Verlag), t. 139, 1970. | MR | Zbl
,[4] Convergence of probability measures, Wiley, New York, MR, t. 38, p. 1718. | MR | Zbl
,[5] Probability, Addison-Wesley, Reading, 1968. | MR | Zbl
,[6] Linear operators, Interscience, New York, t. 1, 1957. | Zbl
and ,[7] An introduction to probability theory and its applications, Vol. II, John Wiley and Sons, New York, 1966. | MR | Zbl
,[8] Integrabilite des vecteurs Gaussien, G. R. Acad. Sc. Paris, Sene A. t. 270, 1971, p. 1698-1699. | MR | Zbl
,[9] Functional central limit theorem in Banach spaces, Ann. Prob., t. 4, 1976, p. 600-611. | MR | Zbl
,[10] Harmonic analysis on Hilbert spaces, Mem. Amer. Math. Soc., t. 46, 1963. | MR | Zbl
,[11] Measure theory, Princeton, 1950. | MR | Zbl
,[12] Sums of independent Banach space valued random variables. Osaka, J. Math., t. 5, 1968, p. 35-48. | MR | Zbl
and ,[13] Fourier Analysis on linear metric spaces, Trans. Amer. Math. Soc., t. 181, 1973, p. 293-311. | MR | Zbl
,[14] Isomorphic characterizations of inner-product spaces by orthogonal series with vector valued coefficients, Studia Math., t. 44, 1972, p. 583-595. | MR | Zbl
,[15] Absolutely summing operators in Lp-spaces and their applications, Studia Math., t. 29, 1968, p. 275-326. | MR | Zbl
and ,[16] Classical Banach spaces, Lecture Notes in Math., t. 338, 1973, Springer-Verlag, New York. | MR | Zbl
and ,[17] Probability theory, 3rd Ed., Van Nostrand, Princeton, 1963. | MR | Zbl
,[18] On Bochner and Levy theorems in Orlicz spaces, Symp. Math., t. 21, 1977, p. 177-186. | MR | Zbl
,[19] Characterization of Banach space through validity of Bochner Theorem, Lecture Notes in Math., t. 644, 1977, Springer-Verlag. | Zbl
,[20] Théorèmes de factorisation pour les opérateurs linéaires à valeurs dans les espaces Lp, Société Mathématique de France, Astérique, t. 11, 1974, p. 1-163. | Numdam | MR | Zbl
,[21] Series de variables aleatones vectorielles independentes et proprietes geometriques des espaces de Banach, Studia Math., t. 58, 1976, p. 45-90. | MR | Zbl
and ,[22] Certain general questions in the theory of probability measures in linear spaces, Theor. Prob. Appl. (S. I. A. M. translations), t. 18, 1973, p. 64-75. | Zbl
,[23] On a probabilistic characterization of Hilbert space, Theor. Prob. Appl. (S. I. A. M. translation), t. 21, 1976, p. 410-412. | MR | Zbl
,[24] Propability measures on metric spaces, Academic Press, New York, 1967. | MR | Zbl
,[25] Convergence of random processes and limit theorems in probability theory, Theor. Prob. Appl. (S. I. A. M. translation), t. 1, 1956, p. 157-214. | MR | Zbl
,[26] The Banach spaces C(K) and Lp(μ). Bull. Amer. Math. Soc., t. 81, no. 5, 1975, p. 763-781. | MR | Zbl
,[27] Hilbertian support of probability measures on a Banach space, Lecture Notes in Math., t. 709, Springer Verlag. | Zbl
,[28] On characteristic functionals, Theor. Prob. Appl. (S. I. A. M. translation), t. 3, 1958, p. 189-193. | Zbl
,[29] Some structure theorems for the symmetric stable laws, Ann. Math. Statist., t. 41, 1970, 412-421. | MR | Zbl
,[30] Sur les lois e(λ) dans les espaces vectoriels, Applications aux lois stables, preprint, Lab. de Prob., Univ. of Paris, 1975.
,[31] Un théorème de prolongement, C. R. A. S., t. 279, 1974, p. 329-332. | MR | Zbl
,