Finite dimensional invariant subspaces for a semigroup of linear operators
type: Item
instance of: scholarly article
title: Finite dimensional invariant subspaces for a semigroup of linear operators
zbMATH Open document ID: 0549.43003
DOI: 10.1016/0022-247X(83)90203-2
author: A. T.-M. Lau
published in: Journal of Mathematical Analysis and Applications
publication date: 1983-01-01T00:00:00Z
review text: The left-amenability of a semitopological semigroup S is characterized by the existence of an invariant n-dimensional subspace of certain representations of S. This is a generalizatin of a result of \textit{K. Fan} [Indagationes Math. 27, 447-451 (1965; Zbl 0139.311)].
Mathematics Subject Classification ID: 43A07
Mathematics Subject Classification ID: 47A15
zbMATH DE Number: 3875951
zbMATH Keywords: left-amenability
zbMATH Keywords: semitopological semigroup
zbMATH Keywords: invariant n-dimensional subspace
reviewed by: Wolfgang Arendt
MaRDI profile type: Publication
cites work: Q5587430
cites work: Q5584589
cites work: Q5514770
cites work: Extremely Amenable Semigroups.
cites work: Invariant means on locally compact groups
cites work: Non-Expansive Actions of Topological Semigroups and Fixed Points
cites work: Q5723435
cites work: Mean value of compact convex sets, Day's fixed point theorem and invariant subspaces
cites work: Topological Semigroups with Invariant Means in the Convex Hull of Multiplicative Means
cites work: Invariant means on almost periodic functions and fixed point properties
cites work: Q4165811
cites work: Topological semigroups and fixed points
full work available at URL: 0022-247x(83)90203-2
OpenAlex ID: W1980510073
description: scientific article; zbMATH DE number 3875951