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

https://doi.org/10.1007/bf02398885
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-3-0348-5456-6_11openalex-snapshot
Unitary Orbits of Power Partial Isometries and Approximation by Block-Diagonal Nilpotents
inferredcites →https://doi.org/10.1007/bfb0058917openalex-snapshot
Unitary equivalence modulo the compact operators and extensions of C*-algebras
inferredcites →https://doi.org/10.1007/bfb0095700openalex-snapshot
Extensions of C*-algebras and K-homology
inferredcites →https://doi.org/10.1016/0022-1236(79)90071-5openalex-snapshot
Almost commuting matrices
inferredcites →https://doi.org/10.1016/0022-1236(82)90059-3openalex-snapshot
Lifting commuting pairs of C∗ algebras
inferredcites →https://doi.org/10.1016/0024-3795(83)80007-xopenalex-snapshot
Perturbation of spectral subspaces and solution of linear operator equations
inferredcites →https://doi.org/10.1090/s0002-9904-1973-13284-7openalex-snapshot
Extensions of 𝐶*-algebras, operators with compact self-commutators, and 𝐾-homology
inferredcites →https://doi.org/10.1090/s0002-9904-1973-13375-0openalex-snapshot
Selfcommutators of multicyclic hyponormal operators are always trace class
inferredcites →https://doi.org/10.1090/s0002-9939-1977-0458212-4openalex-snapshot
Nearest Normal Approximation for Certain Operators
inferredcites →https://doi.org/10.1090/s0002-9939-1988-0928973-3openalex-snapshot
Almost Commuting Matrices Need not be Nearly Commuting
inferredcites →https://doi.org/10.1090/s0002-9939-1989-0975641-9openalex-snapshot
Almost Commuting Unitary Matrices
inferredcites →https://doi.org/10.1090/s0002-9947-1971-0283610-0openalex-snapshot
An Extension of the Weyl-Von Neumann Theorem to Normal Operators
inferredcites →https://doi.org/10.1090/s0273-0979-1987-15471-1openalex-snapshot
Almost commuting matrices and the Brown-Douglas-Fillmore theorem
inferredcites →https://doi.org/10.1112/plms/s3-46.3.547openalex-snapshot
Essentially Spectral Operators
inferredcites →https://doi.org/10.1215/s0012-7094-77-04414-3openalex-snapshot
Notes on extensions of C*-algebras
inferredcites →https://doi.org/10.1215/s0012-7094-77-04434-9openalex-snapshot
Quasidiagonality in the Brown-Douglas-Fillmore theory
inferredcites →https://doi.org/10.1215/s0012-7094-77-04435-0openalex-snapshot
Homotopy invariance of Ext(𝒜)
inferredcites →https://doi.org/10.1307/mmj/1029001363openalex-snapshot
On approximation of normal operators by weighted shifts.
inferredcites →https://doi.org/10.1307/mmj/1029001575openalex-snapshot
The staircase representation of biquasitriangular operators.
inferredcites →https://doi.org/10.2140/pjm.1982.98.173openalex-snapshot
Quasidiagonal weighted shifts
inferredcites →https://doi.org/10.2307/1970999openalex-snapshot
Extensions of C ∗ -algebras and K-Homology
inferredcites →https://doi.org/10.4153/cjm-1978-096-4openalex-snapshot
Index Theory for Perturbations of Direct Sums of Normal Operators and Weighted Shifts
inferredcites →https://doi.org/10.7146/math.scand.a-12098openalex-snapshot
Almost commuting Hermitian matrices.

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1006/jfan.1997.3214openalex-snapshot
Almost Commuting Unitaries and Classification of Purely Infinite SimpleC*-Algebras
inferred← citeshttps://doi.org/10.1007/978-3-0346-0347-8_13openalex-snapshot
Essentially Normal Operators
inferred← citeshttps://doi.org/10.1007/bf01195486openalex-snapshot
The spectral picture and the closure of the similarity orbit of strongly irreducible operators
inferred← citeshttps://doi.org/10.1007/bf01200392openalex-snapshot
On the (U+K)-orbits of certain weighted shifts
inferred← citeshttps://doi.org/10.1007/bf01461007openalex-snapshot
Almost commuting unitary elements in purely infinite simpleC *-algebras
inferred← citeshttps://doi.org/10.1007/bf02484197openalex-snapshot
The (u+κ)-orbit of essentially normal operators and compact perturbations of strongly irreducible operators-orbit of essentially normal operators and compact perturbations of strongly irreducible operators
inferred← citeshttps://doi.org/10.1007/pl00005406openalex-snapshot
Minimal decompositions and iterative methods
inferred← citeshttps://doi.org/10.1007/s11425-009-0187-3openalex-snapshot
The closures of (U + K)-orbits of essentially normal triangular operator models
inferred← citeshttps://doi.org/10.1007/s11425-011-4207-8openalex-snapshot
Similarity orbits in the Calkin algebra
inferred← citeshttps://doi.org/10.1007/s11856-022-2297-3openalex-snapshot
Similarity invariants of essentially normal Cowen-Douglas operators and Chern polynomials
inferred← citeshttps://doi.org/10.1016/j.jfa.2011.02.011openalex-snapshot
On the relation between an operator and its self-commutator
inferred← citeshttps://doi.org/10.1016/j.jmaa.2017.07.039openalex-snapshot
Complex symmetric generators of C⁎-algebras
inferred← citeshttps://doi.org/10.1016/s1874-5849(01)80010-3openalex-snapshot
Local Operator Theory, Random Matrices and Banach Spaces
inferred← citeshttps://doi.org/10.1063/1.4998921openalex-snapshot
Approximate symmetries of Hamiltonians
inferred← citeshttps://doi.org/10.1090/s0002-9947-99-02310-7openalex-snapshot
When almost multiplicative morphisms are close to homomorphisms
inferred← citeshttps://doi.org/10.1090/s0894-0347-2015-00823-2openalex-snapshot
Distance to normal elements in 𝐶*-algebras of real rank zero
inferred← citeshttps://doi.org/10.1215/s0012-7094-96-08520-8openalex-snapshot
Abelian C∗-subalgebras of C∗-algebras of real rank zero and inductive limit C∗-algebras
inferred← citeshttps://doi.org/10.1216/rmjm/1181073131openalex-snapshot
On almost commuting Hermitian operators
inferred← citeshttps://doi.org/10.1353/ajm.1997.0040openalex-snapshot
Extensions of C ( X ) by Simple C *-algebras of real rank zero
inferred← citeshttps://doi.org/10.2140/pjm.1993.159.299openalex-snapshot
Between the unitary and similarity orbits of normal operators
inferred← citeshttps://doi.org/10.2140/pjm.2001.199.347openalex-snapshot
Approximation with normal operators with finite spectrum, and an elementary proof of a Brown–Douglas–Fillmore theorem
inferred← citeshttps://doi.org/10.4171/jncg/483openalex-snapshot
Purely infinite corona algebras and extensions
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