Short Normal Paths and Spectral Variation

DOI10.2307/2045217zbMath0568.15012OpenAlexW4255517460MaRDI QIDQ3684238

Rajendra Bhatia, John A. R. Holbrook

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2045217

zbMATH Keywords

eigenvaluespectrumnormal operatorspectral variationshort normal paths

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (11)

Norms of certain matrices with applications to variations of the spectra of matrices and matrix pencils ⋮ The Hoffman-Wielandt inequality in infinite dimensions ⋮ Unitary invariance and spectral variation ⋮ A softer, stronger Lidskii theorem ⋮ On Specht's theorem in UHF \(C^\ast \)-algebras ⋮ Invariants of almost commuting unitaries ⋮ AF embeddings of \(C(\mathbb{T}^ 2)\) with a prescribed \(K\)-theory ⋮ Spectral variation of normal matrices ⋮ The mathematics of Chandler Davis ⋮ The spectral variation for two matrices with spectra on two intersecting lines ⋮ Spectral variation, normal matrices, and Finsler geometry

Cites Work

• Unnamed Item
• SYMMETRIC GAUGE FUNCTIONS AND UNITARILY INVARIANT NORMS
• A bound for the spectral variation of a unitary operator
• Distance Between Normal Operators
• Analysis of Spectral Variation and Some Inequalities

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