Several applications of the theory of random conjugate spaces to measurability problems

DOI10.1007/s11425-007-0023-6zbMath1128.46031OpenAlexW1967975207MaRDI QIDQ995711

Tie-Xin Guo

Publication date: 10 September 2007

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-007-0023-6

zbMATH Keywords

random normed modulerandom conjugate spacemeasurability problem

Mathematics Subject Classification ID

Probabilistic methods in Banach space theory (46B09) Functional analysis in probabilistic metric linear spaces (46S50) Functional analytic lifting theory (46G15)

Related Items (6)

Relations between some basic results derived from two kinds of topologies for a random locally convex module ⋮ Recent progress in random metric theory and its applications to conditional risk measures ⋮ Random strict convexity and random uniform convexity in random normed modules ⋮ The relation of Banach--Alaoglu theorem and Banach--Bourbaki--Kakutani--Šmulian theorem in complete random normed modules to stratification structure ⋮ A basic strict separation theorem in random locally convex modules ⋮ Random duality

Cites Work

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• The James theorem in complete random normed modules
• Representation theorems of the dual of Lebesgue-Bochner function spaces
• Extremal structure of the unit ball of \(L^ p(\mu,X)\)
• Fixed point theorems in probabilistic analysis
• Survey of Measurable Selection Theorems

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