Farkas' lemma in random locally convex modules and Minkowski-Weyl type results in \(L^0(\mathcal F,R^n)\)

DOI10.1016/j.jmaa.2013.03.018zbMath1329.46007OpenAlexW2008817472WikidataQ124943397 ScholiaQ124943397MaRDI QIDQ488661

Mingzhi Wu

Publication date: 26 January 2015

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.03.018

zbMATH Keywords

random locally convex moduleFarkas lemmaMinkowski-Weyl theorem

Mathematics Subject Classification ID

Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Convex sets in topological linear spaces; Choquet theory (46A55) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (10)

The embedding theorem of an \(L^0\)-prebarreled module into its random biconjugate space ⋮ A characterization for a complete random normed module to be mean ergodic ⋮ Trotter–Kato approximations of semilinear stochastic evolution equations in Hilbert spaces ⋮ Unnamed Item ⋮ An exponential representation for random C₀–semigroups ⋮ Equilibrium Pricing in Incomplete Markets Under Translation Invariant Preferences ⋮ The fundamental theorem of affine geometry in regular \(L^0\)-modules ⋮ L⁰-convex compactness and its applications to random convex optimization and random variational inequalities ⋮ On non-\(L^0\)-linear perturbations of random isometries in random normed modules ⋮ Clarke's fixed point theorem on a complete random normed module

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