A characterization for a complete random normed module to be mean ergodic

DOI10.1007/s10114-017-6444-4zbMath1383.46034OpenAlexW2593564738MaRDI QIDQ2404062

Xia Zhang, Ming Liu

Publication date: 12 September 2017

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

Full work available at URL: https://doi.org/10.1007/s10114-017-6444-4

zbMATH Keywords

mean ergodicrandom normed modulelocal propertyrandom linear operator

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

Related Items (2)

Unnamed Item ⋮ An exponential representation for random C₀–semigroups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On conditional mean ergodic semigroups of random linear operators
• The Bishop-Phelps theorem in complete random normed modules endowed with the (\(\varepsilon, \lambda\))-topology
• On mean ergodic semigroups of random linear operators
• The relations among the three kinds of conditional risk measures
• Farkas' lemma in random locally convex modules and Minkowski-Weyl type results in \(L^0(\mathcal F,R^n)\)
• Recent progress in random metric theory and its applications to conditional risk measures
• The James theorem in complete random normed modules
• \(C_{0}\)-semigroups and mean ergodic operators in a class of Fréchet spaces
• Relations between some basic results derived from two kinds of topologies for a random locally convex module
• A characterization of continuous module homomorphisms on random semi-normed modules and its applications
• Various expressions for modulus of random convexity
• On some basic theorems of continuous module homomorphisms between random normed modules
• The relation of Banach--Alaoglu theorem and Banach--Bourbaki--Kakutani--Šmulian theorem in complete random normed modules to stratification structure
• A Vector-Valued Random Ergodic Theorem
• Stone's representation theorem of a group of random unitary operators on complete complex random inner product modules
• Random convex analysis (II): Continuity and subdifferentiability theorems in <italic>L</italic><sup>0</sup>-pre-barreled random locally convex modules
• Random convex analysis (I): Separation and Fenchel-Moreau duality in random locally convex modules
• On characterization of locally $L^0$-convex topologies induced by a family of $L^0$-seminorms
• On almost surely bounded semigroups of random linear operators
• Ergodic characterizations of reflexivity of Banach spaces

This page was built for publication: A characterization for a complete random normed module to be mean ergodic