Almost commuting matrices

DOI10.1016/0022-1236(79)90071-5zbMath0425.15003OpenAlexW1977014176MaRDI QIDQ1135330

Allen L. Shields, Carl Pearcy

Publication date: 1979

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2027.42/23719

zbMATH Keywords

almost commuting matrices

Mathematics Subject Classification ID

Commutativity of matrices (15A27)

Related Items (13)

A Combinatorial Problem of Shields and Pearcy ⋮ Almost commuting unitary elements in purely infinite simple \(C^*\)- algebras ⋮ Minimizer Extraction in Polynomial Optimization Is Robust ⋮ Poisson brackets and symplectic invariants ⋮ Approximate symmetries of Hamiltonians ⋮ Matrix commutators: their asymptotic metric properties and relation to approximate joint diagonalization ⋮ On operators almost commuting with respect to order ⋮ Almost commuting unitaries and classification of purely infinite simple \(C^*\)-algebras ⋮ Almost Commuting Matrices Need not be Nearly Commuting ⋮ 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 ⋮ Approximation of almost solvable bilinear systems

Cites Work

• Unnamed Item
• On the operator equation \(BX - XA = Q\)
• The range of a normal derivation
• Invariant subspaces for certain commuting operators on Hilbert space
• An Asymptotic Fuglede Theorem
• A Combinatorial Problem of Shields and Pearcy
• Subnormal Weighted Shifts and Asymptotic Properties of Normal Operators
• Almost Eigenvectors for Almost Commuting Matrices

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