Inequalities for the numerical radius, the norm and the maximum of the real part of bounded linear operators in Hilbert spaces

DOI10.1016/J.LAA.2008.01.028zbMath1142.47008OpenAlexW2048965135MaRDI QIDQ924370

Sever Silvestru Dragomir

Publication date: 15 May 2008

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.01.028

zbMATH Keywords

Banach algebraoperator normnumerical radiussemi-inner productsmaximum and minimum of the real part of bounded linear operators

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63) Numerical range, numerical radius (47A12)

Related Items (5)

Commutators and accretive operators ⋮ Cebysev’s type inequalities and power inequalities for the Berezin number of operators ⋮ Accretive operators and Cassels inequality ⋮ REFINEMENTS OF THE CONTINUOUS TRIANGLE INEQUALITY FOR THE BOCHNER INTEGRAL IN HILBERT SPACES ⋮ Further refinements of the Berezin number inequalities on operators

Cites Work

• Some inequalities for the Euclidean operator radius of two operators in Hilbert spaces
• The logarithmic norm. History and modern theory
• Lower bounds for the numerical radius
• Semi-Inner-Product Spaces
• A numerical radius inequality and an estimate for the numerical radius of the Frobenius companion matrix
• Numerical radius inequalities for Hilbert space operators
• INEQUALITIES FOR THE NORM AND THE NUMERICAL RADIUS OF LINEAR OPERATORS IN HILBERT SPACES
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