Interaction antieigenvalues

DOI10.1016/j.jmaa.2004.06.012zbMath1081.47021OpenAlexW4205384878MaRDI QIDQ1766725

Karl Gustafson

Publication date: 8 March 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.06.012

zbMATH Keywords

operator trigonometryantieigenvaluescomplementary inequalitiesantieigenvectors

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Numerical range, numerical radius (47A12) Eigenvalue problems for linear operators (47A75)

Related Items (8)

Hermitian matrices: spectral coupling, plane geometry/trigonometry and optimisation ⋮ Notes on Greub-Rheinboldt inequalities ⋮ Slant joint antieigenvalues and antieigenvectors of operators in normal subalgebras ⋮ Around operator monotone functions ⋮ An improved Greub-Rheinboldt inequality ⋮ Superadditivity of convex integral transform for positive operators in Hilbert spaces ⋮ On the joint antieigenvalues of operators in normal subalgebras ⋮ Computation of antieigenvalues of bounded linear operators via centre of mass

Cites Work

• Numerical range and accretivity of operator products
• Antieigenvalues and total antieigenvalues of normal operators
• Complementary inequalities. I: Inequalities complementary to Cauchy's inequality for sums of real numbers. II: Inequalities complementary to the Buniakowsky-Schwarz inequality for integrals. III: Inequalities complementary to Schwarz's inequality in Hilbert space
• Spectra of products and numerical ranges
• A note on left multiplication of semigroup generators
• Positive (noncommuting) operator products and semigroups
• The norm of a derivation
• On the joint antieigenvalues of operators in normal subalgebras
• On a Generalization of an Inequality of L. V. Kantorovich
• Eigenvalues of Jordan Products
• Operator trigonometry of preconditioning, domain decomposition, sparse approximate inverses, successive overrelaxation, minimum residual schemes
• An inner product lemma
• The angle of an operator and positive operator products
• An extended operator trigonometry
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