A characterization for an \(L(\mu,K)\)-topological module to admit enough canonical module homomorphisms

DOI10.1006/JMAA.2001.7637zbMath1014.46018OpenAlexW2060496625MaRDI QIDQ5955053

Sheng-Lan Peng, Tie-Xin Guo

Publication date: 24 July 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2001.7637

zbMATH Keywords

regularity\(L(\mu,\mathbb{K})\)-topological modulecanonical module homomorphismcharacterisation problemquasi-free submodules of finite rank

Mathematics Subject Classification ID

Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Topological and ordered rings and modules (16W80)

Related Items (9)

On the random conjugate spaces of a random locally convex module ⋮ An \(L^0(\mathcal F,\mathbb R)\)-valued function's intermediate value theorem and its applications to random uniform convexity ⋮ Farkas' lemma in random locally convex modules and Minkowski-Weyl type results in \(L^0(\mathcal F,R^n)\) ⋮ The algebraic structure of finitely generated \(L^0(\mathcal F, K)\)-modules and the Helly theorem in random normed modules ⋮ 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 basic strict separation theorem in random locally convex modules ⋮ L⁰-convex compactness and its applications to random convex optimization and random variational inequalities ⋮ Random duality

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