A characterization of continuous module homomorphisms on random semi-normed modules and its applications

DOI10.1007/s10114-002-0210-xzbMath1027.60069OpenAlexW2011758788MaRDI QIDQ1566041

Lin Hu Zhu, Tie-Xin Guo

Publication date: 25 September 2003

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-002-0210-x

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Random operators and equations (aspects of stochastic analysis) (60H25) Stochastic processes (60G99)

Related Items (9)

On the random conjugate spaces of a random locally convex module ⋮ A characterization for a complete random normed module to be mean ergodic ⋮ THE RANDOM SUBREFLEXIVITY OF COMPLETE RANDOM NORMED MODULES ⋮ Farkas' lemma in random locally convex modules and Minkowski-Weyl type results in \(L^0(\mathcal F,R^n)\) ⋮ 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 ⋮ A characterization for an \(L(\mu,K)\)-topological module to admit enough canonical module homomorphisms ⋮ A basic strict separation theorem in random locally convex modules ⋮ Random duality

Cites Work

• Shrinkable neighborhoods in Hausdorff linear spaces
• Radon-Nikodým property of conjugate Banach spaces and \(w^*\)-equivalence theorems of \(w^*-\mu\)-measurable functions
• Representation theorems of the dual of Lebesgue-Bochner function spaces
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