scientific article

zbMath0989.54036MaRDI QIDQ2779112

Tie-Xin Guo

Publication date: 1 August 2002

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

probabilistic metric spacesrandom metric spacesrandom normed modulesrandom conjugate spacesrandom functional analysisrandom dualitiesrandom inner product modulesspace-randomized approach

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Random linear operators (47B80) Random nonlinear operators (47H40) Probability theory on linear topological spaces (60B11) Research exposition (monographs, survey articles) pertaining to general topology (54-02) Probabilistic metric spaces (54E70) Functional analysis in probabilistic metric linear spaces (46S50)

Related Items (14)

On the random conjugate spaces of a random locally convex module ⋮ The Bishop-Phelps theorem in complete random normed modules endowed with the (\(\varepsilon, \lambda\))-topology ⋮ A minimax theorem for \(\overline{L}^0\)-valued functions on random normed modules ⋮ 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 ⋮ The James theorem in complete random normed modules ⋮ Several applications of the theory of random conjugate spaces to measurability problems ⋮ Two fixed point theorems in complete random normed modules and their applications to backward stochastic equations ⋮ 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 ⋮ A characterization of continuous module homomorphisms on random semi-normed modules and its applications ⋮ L⁰-convex compactness and its applications to random convex optimization and random variational inequalities

This page was built for publication: