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• W2012857581 abstract "Previous article Next article Conditions under which a Cylindrical Measure on a Dual Banach Space May Be Extended to a Radon MeasureYu. N. VladimirskiiYu. N. Vladimirskiihttps://doi.org/10.1137/1124067PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] V. V. Sazonov, On characteristic functionals, Theory Prob. Appl., 3 (1958), 188–192 10.1137/1103018 LinkGoogle Scholar[2] L. Schwartz, Propriété de Radon-Nikodým, Séminaire Maurey-Schwartz (1974–1975), Espaces Lp applications radonifiantes et géométrie des espaces de Banach, Centre Math., École Polytech., Paris, 1975, Exp. No. V-VI, 26 pp. (erratum, p. 2) MR0500143 0314.46042 Google Scholar[3] Alexandre Grothendieck, Produits tensoriels topologiques et espaces nucléaires, Mem. Amer. Math. Soc., 1955 (1955), 140– MR0075539 0123.30301 Google Scholar[4] Laurent Schwartz, Limites projectives de variables aléatoires. Applications décomposantes et nikodymisantes, Séminaire Laurent Schwartz 1969–1970: Applications radonifiantes, Exp. No. 13, Centre de Math., École Polytech., Paris, 1970, 8 pp. (erratum, p. viii) MR0400368 Google Scholar[5] Albert Badrikian, Séminaire sur les fonctions aléatoires linéaires et les mesures cylindriques, Lecture Notes in Mathematics, Vol. 139, Springer-Verlag, Berlin, 1970vii+221 MR0279271 0209.48402 CrossrefGoogle Scholar[6] R. M. Dudley, Random linear functionals, Trans. Amer. Math. Soc., 136 (1969), 1–24 MR0264726 0186.21301 CrossrefGoogle Scholar[7] A. M. Vershik and , V. N. Sudakov, Probability measures in infinite-dimensional spaces, Seminars in Mathematics, V. A. Steklov Math., Inst., Vol. 12, Consultants Bureau, New York-London, 1971, 1–28 0248.60007 Google Scholar[8] H. Millington, On characterizations of nuclear spaces and quasi-integral operators, Math. Ann., 212 (1974/75), 103–111 10.1007/BF01350780 MR0358269 0287.46003 CrossrefGoogle Scholar[9] V. N. Sudakov, Masters Thesis, Certain Problems Related to Distributions in Infinite-Dimensional Linear Spaces, candidate's dissertation, Leningrad State University, 1962, (In Russian.) Google Scholar[10] Albrecht Pietsch, Ideale von $Ssb{p}$-Operatoren in Banachräumen, Studia Math., 38 (1970), 59–69 MR0412833 0213.14505 CrossrefGoogle Scholar[11] O. G. Smolyanov and , S. V. Fomin, Measures on linear topological spaces, Russian Math. Surveys, 31 (1976), 1–53 10.1070/RM1976v031n04ABEH001553 0364.28010 CrossrefGoogle Scholar[12] Albrecht Pietsch, Theorie der Operatorenideale (Zusammenfassung), Friedrich-Schiller-Universität, Jena, 1972x+260 MR0361822 0238.46067 Google Scholar[13] D. J. H. Garling, Lattice bounding, radonifying and summing mappings, Math. Proc. Cambridge Philos. Soc., 77 (1975), 327–333 MR0361882 0297.47020 CrossrefGoogle Scholar[14] S. Kwapień, On a theorem of L. Schwartz and its applications to absolutely summing operators, Studia Math., 38 (1970), 193–201. (errata insert) MR0278090 0211.43505 CrossrefGoogle Scholar[15] A. Pietsch, Absolut p-summierende Abbildungen in normierten Räumen, Studia Math., 28 (1966/1967), 333–353 MR0216328 0156.37903 CrossrefGoogle Scholar[17] D. Kh. Mushtari, On a probabilistic characterization of Hilbert space, Theory Prob. Appl., 21 (1976), 410–412 10.1137/1121050 0358.60008 LinkGoogle Scholar[18] D. Kh. Mushtari, Certain general questions in the theory of probability measures in linear spaces, Theory Prob. Appl., 18 (1973), 64–75 10.1137/1118005 0304.60003 LinkGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Equimeasurable Sets and Cylindrical MeasuresYu. N. Vladimirskii12 July 2006 | Theory of Probability & Its Applications, Vol. 40, No. 4AbstractPDF (1034 KB)On Probabilistic Characterization of Some Classes of Locally Convex SpacesYu. N. Vladimirskii17 July 2006 | Theory of Probability & Its Applications, Vol. 28, No. 3AbstractPDF (1269 KB) Volume 24, Issue 3| 1980Theory of Probability & Its Applications History Submitted:03 March 1977Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1124067Article page range:pp. 582-587ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics" @default.
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