Strong unitary equivalence and approximately unitary equivalence of normal compact operators over topological spaces

DOI10.7153/oam-2018-12-27zbMath1472.47013arXiv1709.00260OpenAlexW2963316314WikidataQ129712601 ScholiaQ129712601MaRDI QIDQ3174839

Jingming Zhu

Publication date: 18 July 2018

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.00260

zbMATH Keywords

fiber bundlesapproximate unitary equivalencecompact normal operatorsstrong unitary equivalence

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Fiber bundles in algebraic topology (55R10)

Cites Work

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• Diagonalizing matrices over C(X)
• Perturbation theory for linear operators.
• Unitary equivalence of normal matrices over topological spaces
• Diagonalizing Matrices