Unitary equivalence of normal matrices over topological spaces

DOI10.1142/S1793525316500126zbMath1352.15026arXiv1409.1905OpenAlexW2963989883MaRDI QIDQ2799114

Efton Park, Greg Friedman

Publication date: 8 April 2016

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

Full work available at URL: https://arxiv.org/abs/1409.1905

zbMATH Keywords

eigenvalueseigenvectorscharacteristic classesobstruction theorynormal matricesunitary equivalence

Mathematics Subject Classification ID

Obstruction theory in algebraic topology (55S35) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Matrices over function rings in one or more variables (15A54) Homology of classifying spaces and characteristic classes in algebraic topology (55R40)

Related Items (3)

Strong unitary equivalence and approximately unitary equivalence of normal compact operators over topological spaces ⋮ Topological obstructions to the diagonalisation of pseudodifferential systems ⋮ Gauss-Bonnet for matrix conformally rescaled Dirac

Cites Work

• Diagonalizing matrices over C(X)
• Characteristic classes of Hermitian manifolds
• Diagonalizing Matrices
• Characteristic Classes. (AM-76)
• ALGEBRAIC EQUATIONS WITH CONTINUOUS COEFFICIENTS AND SOME PROBLEMS OF THE ALGEBRAIC THEORY OF BRAIDS
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