Previous article Next article Mappings of Gaussian Cylindrical Measures in Banach SpacesW. Linde and A. PietschW. Linde and A. Pietschhttps://doi.org/10.1137/1119054PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Laurent Schwartz, Probabilités cylindriques et applications radonifiantes, J. Fac. Sci. Univ. Tokyo Sect. IA Math., 18 (1971), 139–286 MR0320747 (47:9281) 0265.60008 Google Scholar[2] L. Schwartz, Séminaire Laurent Schwartz 1969–1970: Applications radonifiantes, Centre de Mathématiques, École Polytechnique, Paris, 1970iv+339+ix pp. (not consecutively paged) MR0388013 (52:8850) Google Scholar[3] Gottfried Köthe, Topological vector spaces. I, Translated from the German by D. J. H. Garling. Die Grundlehren der mathematischen Wissenschaften, Band 159, Springer-Verlag New York Inc., New York, 1969xv+456 MR0248498 (40:1750) 0179.17001 CrossrefGoogle Scholar[4] Albrecht Pietsch, Theorie der Operatorenideale (Zusammenfassung), Friedrich-Schiller-Universität, Jena, 1972x+260 MR0361822 (50:14267) 0238.46067 Google Scholar[5] N. Bourbaki, Éléments de mathématique. Fasc. XXXV. Livre VI: Intégration. Chapitre IX: Intégration sur les espaces topologiques séparés, Actualités Scientifiques et Industrielles, No. 1343, Hermann, Paris, 1969, 133– MR0276436 (43:2183) 0189.14201 Google Scholar[6] V. D. Mil'man, New proof of the theorem of A. Dvoretzky on intersection of convex bodies, Functional Analysis and its Applications, 5 (1971), 288–295 10.1007/BF01086740 0239.46018 CrossrefGoogle Scholar[7] Aryeh Dvoretzky, Some results on convex bodies and Banach spacesProc. Internat. Sympos. Linear Spaces (Jerusalem, 1960), Jerusalem Academic Press, Jerusalem, 1961, 123–160 MR0139079 (25:2518) 0119.31803 Google Scholar[8] Xavier Fernique, Intégrabilité des vecteurs gaussiens, C. R. Acad. Sci. Paris Sér. A-B, 270 (1970), A1698–A1699 MR0266263 (42:1170) 0206.19002 Google Scholar[9] H. J. Landau and , L. A. Shepp, On the supremum of a Gaussian process, Sankhyā Ser. A, 32 (1970), 369–378 MR0286167 (44:3381) 0218.60039 Google Scholar[10] A. V. Skorokhod, A note on Gaussian measures in a Banach Space, Theory Prob. Applications, 3 (1970), 508– 10.1137/1115052 0218.28008 LinkGoogle Scholar[11] A. Pietsch, Absolut p-summierende Abbildungen in normierten Räumen, Studia Math., 28 (1966/1967), 333–353 MR0216328 (35:7162) 0156.37903 CrossrefGoogle Scholar[12] Bernard Maurey, Espaces de cotype $(p,\,q)$ et théorèmes de relèvement, C. R. Acad. Sci. Paris Sér. A-B, 275 (1972), A785–A788 MR0346510 (49:11235) 0255.47034 Google Scholar[13] Bernard Maurey, Théorèmes de factorisation pour les applications linéaires à valeurs dans un espace Lp, C. R. Acad. Sci. Paris Sér. A-B, 274 (1972), A1825–A1828 MR0308833 (46:7947a) 0247.47016 Google Scholar[14] N. N. Vakhaniya, Probability Distributions in Linear Spaces, Tbilisi, 1971, (In Russian.) Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Stochastic evolution equations in Banach spaces and applications to the Heath–Jarrow–Morton–Musiela equations28 September 2018 | Finance and Stochastics, Vol. 22, No. 4 Cross Ref Multilevel Monte Carlo Approximation of FunctionsS. Krumscheid and F. Nobile27 September 2018 | SIAM/ASA Journal on Uncertainty Quantification, Vol. 6, No. 3AbstractPDF (899 KB)Tools for Malliavin Calculus in UMD Banach Spaces9 June 2013 | Potential Analysis, Vol. 40, No. 4 Cross Ref Lectures on Gaussian Processes11 January 2012 Cross Ref Almost surely convergent summands of a random sumStatistics & Probability Letters, Vol. 82, No. 1 Cross Ref Λ( p )‐Sets and the Limit Order of Operator Ideals26 July 2002 | Mathematische Nachrichten, Vol. 239-240, No. 1 Cross Ref Relations between Classical, Average, and Probabilistic Kolmogorov WidthsJournal of Complexity, Vol. 18, No. 1 Cross Ref Lacunarity on nonabelian groups and summing operators9 April 2009 | Journal of the Australian Mathematical Society, Vol. 71, No. 1 Cross Ref Localization of Majorizing Measures Cross Ref Operator Ideals Cross Ref Approximation, Metric Entropy and Small Ball Estimates for Gaussian MeasuresThe Annals of Probability, Vol. 27, No. 3 Cross Ref Monte Carlo Complexity of Global Solution of Integral EquationsJournal of Complexity, Vol. 14, No. 2 Cross Ref Gaussian measures on linear spacesJournal of Mathematical Sciences, Vol. 79, No. 2 Cross Ref Probabilistic Analysis of Numerical Methods for Integral EquationsJournal of Integral Equations and Applications, Vol. 3, No. 2 Cross Ref Gaussian Random Variables Cross Ref Some relations betweens-numbers of operators on Banach spacesMonatshefte f�r Mathematik, Vol. 110, No. 3-4 Cross Ref Can one hear the structure of a Banach space?Integral Equations and Operator Theory, Vol. 12, No. 5 Cross Ref Factoring absolutely summing operators through Hilbert-Schmidt operators18 May 2009 | Glasgow Mathematical Journal, Vol. 31, No. 2 Cross Ref Stable processes and measures; A survey15 November 2006 Cross Ref Mappings of Stable Cylindrical Measures in Banach SpaceDang Hung Thang and Nguyen Duy Tien17 July 2006 | Theory of Probability & Its Applications, Vol. 27, No. 3AbstractPDF (919 KB)On the limit orders of operator idealsHiroshima Mathematical Journal, Vol. 13, No. 1 Cross Ref Operators generating stable measures on banach spacesZeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, Vol. 60, No. 2 Cross Ref γ-Summing Operators in Banach Spaces of Type p,1 < p 2, and Cotype q,2 q < ∞.T. Kühn17 July 2006 | Theory of Probability & Its Applications, Vol. 26, No. 1AbstractPDF (898 KB)Kernel associated with a cylindrical measure5 October 2006 Cross Ref Characterization of Certain Classes of Banach Spaces by Properties of Gaussian MeasuresV. Linde, V. I. Tarieladze, and S. A. Chobanyan28 July 2006 | Theory of Probability & Its Applications, Vol. 25, No. 1AbstractPDF (551 KB)On the eigenvalues of (p, 2)-summing operators and constants associated with normed spacesJournal of Functional Analysis, Vol. 37, No. 1 Cross Ref On Kolmogorov’s Three Series Theorem and Mean Square Convergence of Martingales in a Banach SpaceNguen Zuy Tien17 July 2006 | Theory of Probability & Its Applications, Vol. 24, No. 4AbstractPDF (940 KB)Weyl-Type Inequalities for Operators in Banach Spaces Cross Ref Tensor Gaussian measures on Lp(E)Journal of Functional Analysis, Vol. 33, No. 3 Cross Ref Comparison Theorems for Random Series in Banach Spaces and Some Schemes of SummationV. V. Buldygin and N. A. Pidsukha17 July 2006 | Theory of Probability & Its Applications, Vol. 23, No. 1AbstractPDF (1348 KB)Quelques nouveaux resultats sur les mesures cylindriques25 August 2006 Cross Ref Probability in Banach Space2 October 2006 Cross Ref Volume 19, Issue 3| 1975Theory of Probability & Its Applications History Submitted:22 July 1973Published online:28 July 2006 InformationCopyright © 1975 © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1119054Article page range:pp. 445-460ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics
No takes yet. Share an insight, caveat, or question.
Linde et al. (1975) studied this question.