\(m\)-isometric weighted shifts and reflexivity of some operators
type: Item
instance of: scholarly article
title: \(m\)-isometric weighted shifts and reflexivity of some operators
zbMATH Open document ID: 1275.47066
DOI: 10.1216/RMJ-2013-43-1-123
published in: Rocky Mountain Journal of Mathematics
publication date: 2013-06-05T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.rmjm/1370267181
review text: In this paper, the authors characterize all \(m\)-isometric unilateral weighted shift operators that are not \(m-1\)-isometrics in terms of their weight sequences. Also, they discuss the reflexivity of a contraction whose spectrum is the closed unit disc and the reflexivity of non-negative integer powers of hyponormal \(m\)-isometries.
reviewed by: Ömer Gök
Mathematics Subject Classification ID: 47B37
Mathematics Subject Classification ID: 47B20
zbMATH DE Number: 6170754
zbMATH Keywords: reflexive operator
zbMATH Keywords: \(m\)-isometry
zbMATH Keywords: contraction
zbMATH Keywords: hyponormal operator
zbMATH Keywords: von Neumann operator
zbMATH Keywords: unilateral weighted shift
author: Masoumeh Faghih-Ahmadi
author: K. Hedayatian
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 6170754