A refinement of \(A\)-Buzano inequality and applications to \(A\)-numerical radius inequalities

DOI10.1016/J.LAA.2023.02.020MaRDI QIDQ6565833

Fuad Kittaneh, Ali Zamani

Publication date: 2 July 2024

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

zbMATH Keywords

semi-inner productinequalitypositive operator\(A\)-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)

Cites Work

• Title not available (Why is that?)
• Metric properties of projections in semi-Hilbertian spaces
• Some inequalities for the Euclidean operator radius of two operators in Hilbert spaces
• Compact linear operators on functional spaces with two norms
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• Improvement of \(A\)-numerical radius inequalities of semi-Hilbertian space operators
• Further results on \(A\)-numerical radius inequalities
• Some new refinements of generalized numerical radius inequalities for Hilbert space operators
• Some generalizations of \(A\)-numerical radius inequalities for semi-Hilbert space operators
• Lectures on numerical radius inequalities
• Seminorm and numerical radius inequalities of operators in semi-Hilbertian spaces
• Some upper bounds for the \(\mathbb{A} \)-numerical radius of \(2\times 2\) block matrices
• Birkhoff-James orthogonality of operators in semi-Hilbertian spaces and its applications
• \(A\)-numerical radius inequalities for semi-Hilbertian space operators
• Normalisable transformations in Hilbert space and systems of linear integral equations
• Ergodic properties of operators in some semi-Hilbertian spaces
• On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
• Some A-numerical radius inequalities for semi-Hilbertian space operators
• A-numerical radius and A-norm inequalities for semi-Hilbertian space operators

Related Items (3)

\(\mathbb{A}\)-Berezin number inequalities for \(2\times 2\) operator matrices ⋮ \(A\)-Davis-Wielandt radius bounds of semi-Hilbertian space operators ⋮ Schatten \(p\)-norm and numerical radius inequalities with applications

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