Compact operators whose real and imaginary parts are positive

DOI10.1090/S0002-9939-00-05832-9zbMath0965.47013OpenAlexW1881158849MaRDI QIDQ2719001

Rajendra Bhatia, Xingzhi Zhan

Publication date: 14 May 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-00-05832-9

zbMATH Keywords

eigenvaluescompact operatorsingular valuespositive operatormajorisationSchatten \(p\)-norms

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Eigenvalues, singular values, and eigenvectors (15A18) Linear operators defined by compactness properties (47B07) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06)

Related Items

The singular values of \(A+B\) and \(A+iB\) ⋮ On the properties of accretive-dissipative matrices ⋮ Reversed Fischer determinantal inequalities ⋮ Singular value inequalities involving convex and concave functions of positive semidefinite matrices ⋮ Upper and lower bounds for the \(p\)-numerical radii of operators ⋮ Norm bounds for summation of two normal matrices. ⋮ Norm inequalities for commutators of positive operators and applications ⋮ Schatten class Toeplitz operators on the Bergman space ⋮ Norm inequalities for accretive-dissipative operator matrices ⋮ Unitarily invariant norm inequalities for accretive-dissipative operator matrices ⋮ Complements to some results on eigenvalues and singular values of matrices ⋮ Inequalities and equalities for the Cartesian decomposition of complex matrices ⋮ Cartesian decompositions and Schatten norms ⋮ On the p-numerical radii of Hilbert space operators ⋮ Generalized numerical radius and related inequalities

Cites Work

• Maximal spectral distance
• Eigenvalue inequalities associated with the cartesian decomposition
• Inequalities: theory of majorization and its applications
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