Almost commuting matrices and a quantitative version of the Brown- Douglas-Fillmore theorem

DOI10.1007/BF02398885zbMath0731.47009OpenAlexW2073801900MaRDI QIDQ807951

I. David Berg, Kenneth R. Davidson

Publication date: 1991

Published in: Acta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02398885

zbMATH Keywords

resolvent conditionessentially normalcompact perturbationquantitative versionBrown-Douglas-Fillmore theorem

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Perturbation theory of linear operators (47A55) (Semi-) Fredholm operators; index theories (47A53) Dilations, extensions, compressions of linear operators (47A20) Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators (47A66)

Related Items (18)

Distance to normal elements in 𝐶*-algebras of real rank zero ⋮ When almost multiplicative morphisms are close to homomorphisms ⋮ Similarity invariants of essentially normal Cowen-Douglas operators and Chern polynomials ⋮ Almost commuting unitary elements in purely infinite simple \(C^*\)- algebras ⋮ The spectral picture and the closure of the similarity orbit of strongly irreducible operators ⋮ Almost commuting matrices, cohomology, and dimension ⋮ Approximate symmetries of Hamiltonians ⋮ Quasidiagonal weighted shifts on directed trees ⋮ Purely infinite corona algebras and extensions ⋮ Similarity orbits in the Calkin algebra ⋮ On the relation between an operator and its self-commutator ⋮ Abelian \(C^*\)-subalgebras of \(C^*\)-algebras of real rank zero and inductive limit \(C^*\)-algebras ⋮ Complex symmetric generators of \(C^*\)-algebras ⋮ The closures of \((\mathcal U + \mathcal K)\)-orbits of essentially normal triangular operator models ⋮ Almost commuting unitaries and classification of purely infinite simple \(C^*\)-algebras ⋮ Almost Commuting Matrices Need not be Nearly Commuting ⋮ On almost commuting Hermitian operators ⋮ On the \(({\mathcal U}+{\mathcal K})\)-orbits of certain weighted shifts

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