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On Finite Invariant Measure for Semigroups of Operators

Published online by Cambridge University Press:  20 November 2018

Usha Sachdevao
Usha Sachdevao*
Affiliation:
Ohio State University, Columbus, Ohio
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Let Σ be a left amenable semigroup, and let {Tσ: σ ∊ Σ} be a representation of Σ as a semigroup of positive linear contraction operators on L1(X, , p). This paper is devoted to the study of existence of a finite equivalent invariant measure for such semigroups of operators.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 14 , Issue 2 , June 1971 , pp. 197 - 206
Copyright
Copyright © Canadian Mathematical Society 1971

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