On \((m,\infty )\)-isometries: examples

DOI10.1007/s00025-019-1018-7zbMath1475.47021OpenAlexW2944324877MaRDI QIDQ2311955

H. Zaway, Teresa Bermúdez

Publication date: 4 July 2019

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-019-1018-7

zbMATH Keywords

weighted shift operator(\(m\)\({\infty }\))-isometry\(p\))-isometry

Mathematics Subject Classification ID

Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (1)

Nonlinear \((m,\infty )\)-isometries and \((m,\infty )\)-expansive (contractive) mappings on normed spaces

Cites Work

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• Weighted shift and composition operators on \(\ell_{p}\) which are \((m,q)\)-isometries
• On the second parameter of an \((m, p)\)-isometry
• Weighted shift operators which are \(m\)-isometries
• Classification of hereditary matrices
• Complete hyperexpansivity, subnormality and inverted boundedness conditions.
• An isometry plus a nilpotent operator is an \(m\)-isometry. Applications
• The \((m,q)\)-isometric weighted shifts on \(l_{p}\) spaces
• m-isometries on Banach spaces
• The structure of m-isometric weighted shift operators
• Powers of m-isometries
• (m, p)-isometric and (m, ∞)-isometric operator tuples on normed spaces
• A Disconjugacy Theorem for Toeplitz Operators
• A note on operator tuples which are (m,p)-isometric as well as (μ,∞)-isometric

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