Operators $\alpha $-commuting with a compact operator

DOI10.1090/S0002-9939-97-03965-8zbMath0883.47002MaRDI QIDQ4372282

Vasile Lauric

Publication date: 11 December 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Toeplitz operatorsinvariant subspace problem\(\alpha\)-commuting

Mathematics Subject Classification ID

Linear operators defined by compactness properties (47B07) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Invariant subspaces of linear operators (47A15)

Related Items (4)

\(\lambda\)-commuting of bounded linear operators on ultrametric Banach spaces and determinant spectrum of ultrametric matrices ⋮ Beyond hyperinvariance for compact operators ⋮ Extended eigenvalues for bilateral weighted shifts ⋮ Extended eigenvalues of composition operators

Cites Work

• An analytic Toeplitz operator that commutes with a compact operator and a related class of Toeplitz operators
• An operator not satisfying Lomonosov's hypothesis
• An extension of Burnside's theorem to infinite-dimensional spaces
• Rank-one commutators and hyperinvariant subspaces
• Sufficient conditions for rank-one commutators and hyperinvariant subspaces
• The Commutant of an Analytic Toeplitz Operator
• An Operator still not Satisfying Lomonosov's Hypothesis
• Extension of a Result of Beurling on Invariant Subspaces
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