Products of pairs of commuting \(d\)-tuples of Banach space operators satisfying an \(m\)-isometric property

DOI10.1007/s12215-023-00917-0OpenAlexW4381890910MaRDI QIDQ6144970

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Publication date: 30 January 2024

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-023-00917-0

zbMATH Keywords

Banach spaceproducts of operatorsleft/right multiplication operator\(m\)-isometric commuting \(d\)-tuples of operators

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Commutators, derivations, elementary operators, etc. (47B47) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Local spectral properties of linear operators (47A11)

Cites Work

• Tensor product of \(n\)-isometries
• On \((m, C)\)-isometric commuting tuples of operators on a Hilbert space
• Products of \(m\)-isometries
• Structure of elementary operators defining \(m\)-left invertible, \(m\)-selfadjoint and related classes of operators
• Isometric, symmetric and isosymmetric commuting \(d\)-tuples of Banach space operators
• (A,m)-Symmetric commuting tuples of operators on a Hilbert space

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