On tuples of commuting operators in positive semidefinite inner product spaces

DOI10.1016/j.laa.2020.06.015OpenAlexW3036807677MaRDI QIDQ2197142

Kais Feki

Publication date: 28 August 2020

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2020.06.015

zbMATH Keywords

joint spectral radiuscommuting tuplejoint numerical radius\((A,m)\)-isometric operator\(A\)-normal operator

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Numerical range, numerical radius (47A12) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (12)

Some \(\mathbb{A}\)-numerical radius inequalities for \(d\times d\) operator matrices ⋮ Some \(A\)-spectral radius inequalities for \(A\)-bounded Hilbert space operators ⋮ Refinement of seminorm and numerical radius inequalities of semi-Hilbertian space operators ⋮ Improved inequalities related to the AA-numerical radius for commutators of operators ⋮ On some inequalities for the generalized joint numerical radius of semi-Hilbert space operators ⋮ Further inequalities for the \(\mathbb{A}\)-numerical radius of certain \(2 \times 2\) operator matrices ⋮ Generalized numerical radius inequalities of operators in Hilbert spaces ⋮ Unnamed Item ⋮ On \(A\)-parallelism and \(A\)-Birkhoff-James orthogonality of operators ⋮ Some bounds for the $\mathbb{A}$-numerical radius of certain $2 \times 2$ operator matrices ⋮ Unnamed Item ⋮ Some generalizations of \(A\)-numerical radius inequalities for semi-Hilbert space operators

Cites Work

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• A Commutativity Theorem for Normal Operators

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