Wold-type decompositions for pairs of commutative semigroups generated by isometries

T. Bînzar, C. Lăzureanu

Department of Mathematics, Politehnica University of Timişoara, Timişoara, România

Abstract: In this paper we analyze connections between Wold-type decompositions of bi-isometries and pairs of semigroups of isometries, where at least one of semigroups is a product semigroup generated by two isometries.

Keywords: commuting isometries, Wold decomposition, semigroup of isometries.

UDC: 517.98

Received: 19.05.2021
Revised: 19.05.2021
Accepted: 30.08.2021

DOI: 10.4213/faa3910

 English version: Functional Analysis and Its Applications, 2022, 56:1, 37–47

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