Unitary invariance and spectral variation

DOI10.1016/0024-3795(87)90026-7zbMath0657.15019OpenAlexW2069676635MaRDI QIDQ1110623

John A. R. Holbrook, Rajendra Bhatia

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0024-3795(87)90026-7

zbMATH Keywords

matrix normnumerical radiusnormal operatorspectral variationpinching inequalityweakly unitary invariant norm

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items (11)

Some aspects of the theory of norms ⋮ Pinchings and Norms of Scaled Triangular Matrices ⋮ A softer, stronger Lidskii theorem ⋮ Linear operators preserving unitary similarity invariant norms ⋮ Eigenvalues of symmetrizable matrices ⋮ Norms that are invariant under unitary similarities and theC-numerical radii ⋮ On an integral representation of the normalized trace of thek-th symmetric tensor power of matrices and some applications ⋮ New applications to invariant matrix norms and combinatorics of an integral representation of natural powers of the numerical values ⋮ Spectral variation of normal matrices ⋮ Operator means of probability measures ⋮ On the Clarkson-McCarthy inequalities

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• Best Approximation of a Normal Operator in the Schatten p-Norm
• Unitarily Invariant Operator Norms
• Analysis of Spectral Variation and Some Inequalities
• Spectral approximants of normal operators
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen

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