Almost Commuting Matrices Need not be Nearly Commuting

DOI10.2307/2047216zbMath0649.15005OpenAlexW4239647880MaRDI QIDQ3794322

Man-Duen Choi

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2047216

zbMATH Keywords

perturbationalmost commuting matricescommuting pairssignature of a matrixHilbert-space-operator norm

Mathematics Subject Classification ID

Commutativity of matrices (15A27) Perturbation theory of linear operators (47A55) Commutators, derivations, elementary operators, etc. (47B47)

Related Items (18)

The \(q\)-binomial theorem and spectral symmetry ⋮ Distance to normal elements in 𝐶*-algebras of real rank zero ⋮ When almost multiplicative morphisms are close to homomorphisms ⋮ Perturbations of the rotation \(C^*\)-algebras and of the Heisenberg commutation relation ⋮ Almost commuting unitary elements in purely infinite simple \(C^*\)- algebras ⋮ Almost commuting matrices, cohomology, and dimension ⋮ Approximate symmetries of Hamiltonians ⋮ Invariants of almost commuting unitaries ⋮ On the relation between an operator and its self-commutator ⋮ Some results on tracial stability and graph products ⋮ Almost commuting matrices, localized Wannier functions, and the quantum Hall effect ⋮ Approximately order zero maps between \(\mathrm{C}^\ast \)-algebras ⋮ \(K\)-theory and pseudospectra for topological insulators ⋮ Almost commuting unitaries and classification of purely infinite simple \(C^*\)-algebras ⋮ On almost commuting Hermitian operators ⋮ Almost commuting matrices and a quantitative version of the Brown- Douglas-Fillmore theorem ⋮ Condition pseudospectral radius of bounded linear operators ⋮ Almost Commuting Unitary Matrices

Cites Work

• Almost commuting matrices and a quantitative version of the Brown- Douglas-Fillmore theorem
• Almost commuting matrices
• Completely order Isomorphic and Close C^* -Algebras need not BE, ^* -Isomorphic
• Almost commuting Hermitian matrices.
• Some unsolved problems of unknown depth about operators on Hilbert space
• Subnormal Weighted Shifts and Asymptotic Properties of Normal Operators
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