Unconditional convergence of functional series in problems of probability theory

DOI10.1007/s10958-014-1912-1zbMath1358.60006OpenAlexW2130802868MaRDI QIDQ2255688

Vakhtang V. Kvaratskhelia

Publication date: 17 February 2015

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-014-1912-1

zbMATH Keywords

Hadamard matrixunconditional convergenceprobability in Banach spacesseries in Banach spacesdecomposability of Gaussian measuresGaussian measures in Banach spaces

Mathematics Subject Classification ID

Gaussian processes (60G15) Local theory of Banach spaces (46B07) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Probability theory on linear topological spaces (60B11)

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Cites Work

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• On a local form of Jensen's functional equation
• On Banach spaces having the property G. L
• Entropy numbers, s-numbers, and eigenvalue problems
• On the r-nuclearity of Gaussian covariances and the composition of nuclear operators
• Cotype of operators from \(C(K)\)
• Gaussian characterizations of certain Banach spaces
• Some inequalities related to Hadamard matrices
• Eigenvalue distribution of compact operators
• Cotype and \((q,1)\)-summing norm in a Banach space
• \(c_ p\)
• On the convergence of sums of independent Banach space valued random variables
• Unconditional convergence in partially ordered linear spaces
• On series in linear topological spaces
• Unconditional Convergence of Gaussian Random Series in Banach Spaces
• On bases and unconditional convergence of series in Banach spaces
• The r‐nuclearity (0 < r ≦ 1) of GAUSSian covariances
• Mappings of Gaussian Cylindrical Measures in Banach Spaces
• A Note on Unconditionally Converging Series in L p
• Some applications of p-summing operators to Banach space theory
• Séries de variables aléatoires vectorielles indépendantes et propriétés géométriques des espaces de Banach
• Unconditional convergence and almost everywhere convergence
• On some parameters associated with normed lattices and on series characterization of M-spaces
• THE STRUCTURE OF SUMMABLE SEQUENCES AND p-SUMMING OPERATORS
• Absolut p-summierende Abbildungen in normierten Räumen
• Об одном условии существования интеграла Петтиса
• Absolutely summing operators in $ℒ_{p}$-spaces and their applications
• On non-equivalent bases and conditional bases in Banach spaces
• The main triangle projection in matrix spaces and its applications
• On a theorem of L. Schwartz and its applications to absolutely summing operators
• On Banach spaces X for which $Π_{2}(ℒ_{∞},X)=B(ℒ_{∞},X)$
• Sums of independent Banach space valued random variables
• Absolute and unconditional convergence
• Absolute and Unconditional Convergence in Normed Linear Spaces

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