Title

Pairs of commuting isometries, I

Article Type

Research Article

Publication Title

Studia Mathematica

Abstract

We present an explicit version of Berger, Coburn and Lebow’s classification result for pure pairs of commuting isometries in the sense of an explicit recipe for constructing pairs of commuting isometric multipliers with precise coefficients. We describe a complete set of (joint) unitary invariants and compare Berger, Coburn and Lebow’s representations with other natural analytic representations of pure pairs of commuting isometries. Finally, we study the defect operators of pairs of commuting isometries.

First Page

171

Last Page

189

DOI

10.4064/sm180111-14-8

Publication Date

1-1-2019

Comments

Open Access, Green

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