Nilpotent perturbations of \(m\)-isometric and \(m\)-symmetric tensor products of commuting \(d\)-tuples of operators

DOI10.1515/DEMA-2023-0146MaRDI QIDQ6648314

B. P. Duggal, In Hyoun Kim

Publication date: 4 December 2024

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

zbMATH Keywords

Banach spacetensor product of operatorsleft/right multiplication operator\(m\)-isometric and \(m\)-symmetric 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

• On \((m, C)\)-isometric commuting tuples of operators on a Hilbert space
• \(m\)-isometric commuting tuples of operators on a Hilbert space
• 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
• Tensor-splitting properties of $n$-inverse pairs of operators
• (A,m)-Symmetric commuting tuples of operators on a Hilbert space
• Structures of left n-invertible operators and their applications
• Joint A-hyponormality of operators in semi-Hilbert spaces
• Strict isometric and strict symmetric commuting \(d\)-tuples of Banach space operators

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