Compact perturbations of nest algebras, index obstructions, and a problem of Arveson

DOI10.1016/0022-1236(84)90020-XzbMath0573.47002MaRDI QIDQ1063215

Domingo A. Herrero

Publication date: 1984

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

zbMATH Keywords

compact perturbationsinvariant subspacegapsnest algebraindex obstructionquasitriangular operatorssemi-Fredholm with negative indexstrongly closed nest of subspaces

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Abstract operator algebras on Hilbert spaces (47L30) Invariant subspaces of linear operators (47A15) (Semi-) Fredholm operators; index theories (47A53) Structure theory of linear operators (47A65) Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators (47A66)

Related Items (4)

The closure of unitary orbit for strongly irreducible operators in a class of nest algebras ⋮ Compact Perturbations of Certain CSL Algebras ⋮ Invariant subspaces of operator algebras ⋮ Small compact perturbation of strongly irreducible operators.

Cites Work

• Compact perturbations of reflexive algebras
• Matrix models for operators
• Operator algebras and invariant subspaces
• Unitary invariants for nests
• A note on quasitriangular operators
• Triangular Operator Algebras: Fundamentals and Hyperreducible Theory
• Compact Perturbations, Normal Eigenvalues and a Problem of Salinas
• On the Spectra of the Restrictions of an Operator
• Ten problems in Hilbert space
• An Extension of the Weyl-Von Neumann Theorem to Normal Operators
• Operators with disconnected spectra are dense
• Theory of Reproducing Kernels
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