Accretive operators and Cassels inequality

DOI10.1016/J.LAA.2010.01.038zbMath1193.15018OpenAlexW1995438677MaRDI QIDQ972789

Marek Niezgoda

Publication date: 21 May 2010

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

Full work available at URL: https://doi.org/10.1016/j.laa.2010.01.038

zbMATH Keywords

accretive operatoreigenvaluespositive definite matricestracesingular valuesunitarily invariant normpositive linear mapCassel inequalitygeometric means of matrices

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45)

Related Items (1)

Generalized matrix version of reverse Hölder inequality

Cites Work

• Unnamed Item
• Unnamed Item
• Commutators and accretive operators
• Matrix versions of the Cauchy and Kantorovich inequalities
• New inequalities of the Kantorovich type for bounded linear operators in Hilbert spaces
• Inequalities for the numerical radius, the norm and the maximum of the real part of bounded linear operators in Hilbert spaces
• Concavity of certain maps on positive definite matrices and applications to Hadamard products
• Some comments on six inequalities associated with the inefficiency of ordinary least squares with one regressor
• Geometric means
• Operator inequalities related to Cauchy-Schwarz and Hölder-McCarthy inequalities
• Matrix versions of some classical inequalities
• Symmetric norms and reverse inequalities to Davis and Hansen-Pedersen characterizations of operator convexity

This page was built for publication: Accretive operators and Cassels inequality