Geometry and probability in Banach spaces. Notes by Paul R. Chernoff

DOI10.1007/BFb0096723zbMath0462.46008MaRDI QIDQ1153311

Laurent Schwartz

Publication date: 1981

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

zbMATH Keywords

ultrapowersstochastic processesfactorization theoremcylindrical measuresp-summing operatorstype and cotypeKahane inequalitymodulus of convexity and smoothnessp-radonifying operatorsp-stable distributionssuperpropertiesuniformly convexifiable spaces

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Related Items (11)

Irreducible domains in Banach spaces ⋮ A mean convergence theorem and weak law for arrays of random elements in martingale type \(p\) Banach spaces ⋮ ℵ₀‐categorical Banach spaces contain ℓp or c₀ ⋮ Stochastic integration with respect to cylindrical Lévy processes by \(p\)-summing operators ⋮ THE GROTHENDIECK CONSTANT IS STRICTLY SMALLER THAN KRIVINE’S BOUND ⋮ Model theory of operator algebras III: elementary equivalence and II₁factors ⋮ Some results on random fixed points of completely random operators ⋮ Unnamed Item ⋮ Complete convergence theorems for weighted row sums from arrays of random elements in Rademacher type p and martingale type p Banach spaces ⋮ Universal consistency of delta estimators ⋮ The dimension of Euclidean subspaces of quasi-normed spaces

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