Beyond hyperinvariance for compact operators

DOI10.1016/j.jfa.2004.06.001zbMath1061.47018OpenAlexW2014501025MaRDI QIDQ1766527

Srdjan Petrovic, Alan L. Lambert

Publication date: 8 March 2005

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2004.06.001

zbMATH Keywords

invariant subspaceseparable Hilbert spacecompact operatorsquasinilpotent operatorsspectral algebras

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Linear operators on function spaces (general) (47B38) Structure theory of linear operators (47A65) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (17)

Remarks on complex symmetric operators ⋮ SPECTRAL RADIUS ALGEBRAS AND C₀ CONTRACTIONS. II ⋮ Some equivalent metrics for bounded normal operators ⋮ On some algebraic and operator-theoretic properties of \(\lambda\)-Toeplitz operators ⋮ Equivalent metrics on normal composition operators ⋮ On the solvability of some operator equations ⋮ Resolvent algebra of finite rank operators ⋮ Spectral radius algebras and $C_0$ contractions ⋮ Spectral radius algebras and shift ⋮ Deddens algebras and shift ⋮ Invariant subspaces and Deddens algebras ⋮ Extended eigenvalues for bilateral weighted shifts ⋮ Description of extended eigenvalues and extended eigenvectors of integration operators on the Wiener algebra ⋮ Extended eigenvalues of composition operators ⋮ Connections between Deddens algebras and extended eigenvectors ⋮ Spectral radius algebras and weighted shifts of finite multiplicity ⋮ On the submultiplicativity and subadditivity of the spectral and essential spectral radius

Cites Work

• An operator not satisfying Lomonosov's hypothesis
• On models for linear operators
• Norm Conditions on Resolvents of Similarities of Hilbert Space Operators and Applications to Direct Sums and Integrals of Operators
• Operators $\alpha $-commuting with a compact operator
• On λ-commuting operators
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Beyond hyperinvariance for compact operators