Wold decomposition for isometries with equal range

Journal of Operator Theory 2026 Open access

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Authors: Satyabrata Majee
DOI: 10.7900/jot.2023sep07.2501
Cited by: 0

Abstract

Let n⩾2, and let V=(V1,…,Vn) be an n-tuple of isometries acting on a Hilbert space H. We say that V is an n-tuple of isometries with equal range if VmiiVmjjH=VmjjVmiiH and V∗miiVmjjH=VmjjV∗miiH for mi,mj∈Z+, where 1⩽i

Fields of Study & Subjects

Advanced Topics in Algebra Holomorphic and Operator Theory Advanced Operator Algebra Research

Publication details

Journal / source
Journal of Operator Theory
Publisher
Theta Foundation
Volume
95
Issue
2
Pages
305–337
Publication date
30 April 2026
Language
EN