Some A-numerical radius inequalities for semi-Hilbertian space operators

DOI10.1080/03081087.2020.1774487OpenAlexW3033855268MaRDI QIDQ5858707

Debasisha Mishra, Satyajit Sahoo, Nirmal Chandra Rout

Publication date: 14 April 2021

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

Full work available at URL: https://doi.org/10.1080/03081087.2020.1774487

zbMATH Keywords

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

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63) Numerical range, numerical radius (47A12) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (15)

Some \(\mathbb{A}\)-numerical radius inequalities for \(d\times d\) operator matrices ⋮ On 𝔸-numerical radius inequalities for 2 × 2 operator matrices ⋮ A-numerical radius and A-norm inequalities for semi-Hilbertian space operators ⋮ Refinement of seminorm and numerical radius inequalities of semi-Hilbertian space operators ⋮ Further numerical radius inequalities ⋮ An extension of Birkhoff-James orthogonality relations in semi-Hilbertian space operators ⋮ Davis-Wielandt radius inequalities for off-diagonal operator matrices ⋮ New upper bounds for the numerical radius of operators on Hilbert spaces ⋮ Some numerical radius inequality for several semi-Hilbert space operators ⋮ Improvements of \(A\)-numerical radius bounds ⋮ Some upper bounds for the \(\mathbb{A} \)-numerical radius of \(2\times 2\) block matrices ⋮ Unnamed Item ⋮ On \(\mathbb{A}\)-numerical radius equalities and inequalities for certain operator matrices ⋮ Further results on \(A\)-numerical radius inequalities ⋮ Some new refinements of generalized numerical radius inequalities for Hilbert space operators

Cites Work

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• Some Hermite-Hadamard type inequalities for operator convex functions and positive maps
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• \(A\)-numerical radius inequalities for semi-Hilbertian space operators
• A generalization of the numerical radius
• Partial isometries in semi-Hilbertian spaces
• On upper and lower bounds of the numerical radius and an equality condition
• Unitarily Invariant Operator Norms
• On inequalities for A-numerical radius of operators
• Numerical radius inequalities for Hilbert space operators. II
• Numerical Radius Inequalities for Several Operators

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