Some lower bounds for the numerical radius of Hilbert space operators

DOI10.22034/aot.1612-1076zbMath1367.47009OpenAlexW2593944630MaRDI QIDQ525310

Yong-Cai Geng, Sumit K. Garg

Publication date: 3 May 2017

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

Full work available at URL: http://www.aot-math.org/article_42504_e092353b73c1ef28452661188909e86f.pdf

zbMATH Keywords

inequalityCartesian decompositionoperator normnumerical radius

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Numerical range, numerical radius (47A12)

Related Items (19)

Generalizations of the Aluthge transform of operators ⋮ A new type of numerical radius of operators on Hilbert \(C^*\)-module ⋮ Upper and lower bounds of the AA-Berezin number of operators ⋮ Characterization of numerical radius parallelism in \(C^*\)-algebras ⋮ Matricial Radius: A Relation of Numerical radius with Matricial Range ⋮ Numerical radius inequalities concerning with algebra norms ⋮ Hardy–Hilbert type inequality in reproducing kernel Hilbert space: its applications and related results ⋮ Further refinements of generalized numerical radius inequalities for Hilbert space operators ⋮ Numerical radius inequalities via convexity ⋮ Unnamed Item ⋮ On inequalities for A-numerical radius of operators ⋮ Some refinements of numerical radius inequalities ⋮ Upper bounds for numerical radius inequalities involving off-diagonal operator matrices ⋮ Some upper bounds for the Davis-Wielandt radius of Hilbert space operators ⋮ On numerical radius bounds involving generalized Aluthge transform ⋮ Norm-parallelism and the Davis–Wielandt radius of Hilbert space operators ⋮ \(A\)-numerical radius inequalities for semi-Hilbertian space operators ⋮ Generalizations of numerical radius inequalities related to block matrices ⋮ Davis-Wielandt-Berezin radius inequalities via Dragomir inequalities

Cites Work

• Upper and lower bounds for the numerical radius with an application to involution operators
• Cartesian decomposition and numerical radius inequalities
• A survey of some recent inequalities for the norm and numerical radius of operators in Hilbert spaces
• Inequalities for operator space numerical radius of 2 × 2 block matrices
• Product of operators and numerical range
• On upper and lower bounds of the numerical radius and an equality condition
• Numerical radius inequalities for Hilbert space operators
• Numerical radius inequalities for Hilbert space operators. II

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