Almost commuting matrices and the Brown-Douglas-Fillmore theorem

DOI10.1090/S0273-0979-1987-15471-1zbMath0644.47015OpenAlexW1971028425MaRDI QIDQ3786974

I. David Berg, Kenneth R. Davidson

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1090/s0273-0979-1987-15471-1

zbMATH Keywords

compact operatorFredholm indexconstructive proof of the theorem of Brown, Douglas and Fillmore

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Functional calculus for linear operators (47A60) Perturbation theory of linear operators (47A55) (Semi-) Fredholm operators; index theories (47A53)

Related Items (9)

Stability of rotation relations in -algebras ⋮ Stability of rotation relations of three unitaries with the flip action in \(C^*\)-algebras ⋮ Stability of rotation relation of two unitaries with \(\mathbb{Z}_3, \mathbb{Z}_4\) and \(\mathbb{Z}_6\)-actions in \(C^*\)-algebras ⋮ Higher dimensional Bott classes and the stability of rotation relations ⋮ Stability of rotation relation of two unitaries with the flip action in \(C^\ast \)-algebras ⋮ Stability of certain relations of three unitaries in C∗-algebras ⋮ Almost commuting unitaries with spectral gap are near commuting unitaries ⋮ On the necessary and sufficient condition for a set of matrices to commute and some further linked results ⋮ Almost commuting matrices and a quantitative version of the Brown- Douglas-Fillmore theorem

Cites Work

• Almost commuting Hermitian matrices.
• Unnamed Item

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