The Frobenius-Perron Operator as a Product of Two Operators

Document Type

Article

Publication Date

5-1-1996

Department

Mathematics

School

Mathematics and Natural Sciences

Abstract

We show that the Frobeniun-Perron operator PS: L1(X) → L1(X) associated with a nonsingular transformation S: XX on a σ-finite measuring space X is the product of an isometry and a weak contraction.

Publication Title

Applied Mathematics Letters

Volume

9

Issue

3

First Page

63

Last Page

65

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