ORTHOGONAL DECOMPOSITIONS AND TWISTED ISOMETRIES. II

Article Type

Research Article

Publication Title

Journal of Operator Theory

Abstract

We classify tuples of (not necessarily commuting) isometries that admit von Neumann–Wold decomposition. We introduce the notion of twisted isometries for tuples of isometries and prove the existence of orthogonal decomposition for such tuples. The former classification is partially inspired by a result that was observed more than three decades ago by Gaspar and Suciu. And the latter result generalizes Popovici’s orthogonal decompositions for pairs of commuting isometries to general tuples of twisted isometries which also includes the case of tuples of commuting isometries.

First Page

257

Last Page

281

DOI

10.7900/jot.2022oct05.2415

Publication Date

1-1-2024

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