Some upper bounds for the \(\mathbb{A} \)-numerical radius of \(2\times 2\) block matrices

DOI10.1007/s43036-020-00102-5OpenAlexW3092106865MaRDI QIDQ2216807

Zhongming Ye, Qingxiang Xu, Ali Zamani

Publication date: 17 December 2020

Published in: Advances in Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.04590

zbMATH Keywords

semi-inner productinequalitypositive operatoroperator matrix\(A\)-numerical radius

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Numerical range, numerical radius (47A12) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Positive linear operators and order-bounded operators (47B65)

Related Items (9)

Some \(\mathbb{A}\)-numerical radius inequalities for \(d\times d\) operator matrices ⋮ Numerical radius inequalities for indefinite inner product space operators ⋮ Bounds for \(\mathbb{A} \)-numerical radius based on an extension of \(A\)-Buzano inequality ⋮ Inequalities for the weighted A-numerical radius of semi-Hilbertian space operators ⋮ Improvement of \(A\)-numerical radius inequalities of semi-Hilbertian space operators ⋮ On \(\mathbb{A}\)-numerical radius equalities and inequalities for certain operator matrices ⋮ Further results on \(A\)-numerical radius inequalities ⋮ Spectral analysis of bounded operators on semi-Hilbertian spaces ⋮ On generalized Davis-Wielandt radius inequalities of semi-Hilbertian space operators

Cites Work

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• On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
• Some A-numerical radius inequalities for semi-Hilbertian space operators
• Numerical radius inequalities for operator matrices

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