On unitary equivalence of bilateral operator valued weighted shifts

DOI10.7494/OpMath.2019.39.4.543zbMath1443.47038arXiv1806.10321WikidataQ127828653 ScholiaQ127828653MaRDI QIDQ5106676

Jakub Kośmider

Publication date: 22 April 2020

Published in: Opuscula Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.10321

zbMATH Keywords

partial isometrybilateral weighted shiftunitary equivalencequasi-invertible weights

Mathematics Subject Classification ID

Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Equations involving linear operators, with operator unknowns (47A62)

Related Items (1)

A Shimorin-type analytic model on an annulus for left-invertible operators and applications

Cites Work

• The single equality \(A^{\ast n} A^n = (A^\ast A)^n\) does not imply the quasinormality of weighted shifts on rootless directed trees
• Complete systems of unitary invariants for some classes of 2-isometries
• Weighted shifts on directed trees
• Bilateral weighted shift operators similar to normal operators
• On completely hyperexpansive operators
• HYPEREXPANSIVE OPERATOR VALUED UNILATERAL WEIGHTED SHIFTS
• The single-valued extension property for bilateral operator weighted shifts
• Unitary equivalence and reductibility or invertibly weighted shifts
• The essential spectrum and Banach reducibility of operator weighted shifts
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