Invariant subspaces for operators with Bishop's property \((\beta{})\) and thick spectrum

DOI10.1016/0022-1236(90)90034-IzbMath0744.47003MaRDI QIDQ1173579

Bebe Prunaru, Jörg Eschmeier

Publication date: 25 June 1992

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

zbMATH Keywords

essential spectrumBishop's property \((\beta)\)decomposable operatorsubdecomposable operatorquotients of decomposable operators

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15)

Related Items (26)

Scott Brown's techniques for perturbations of decomposable operators ⋮ On \(m\)-complex symmetric operators ⋮ A natural representation for the operator algebra \(\text{Alg Lat } T\) ⋮ Local spectral properties of typical contractions on \(\ell_p\)-spaces ⋮ Some properties of (m,C)-isometric operators ⋮ \(k\)-quasihyponormal operators are subscalar ⋮ Local spectral properties of commutators ⋮ Remarks on n-normal operators ⋮ Halmos problems and related results in the theory of invariant subspaces ⋮ Local spectral theory and spectral inclusions ⋮ Jörg Eschmeier's mathematical work ⋮ Some invariant subspaces for w-hyponormal operators ⋮ Invariant subspaces for bounded operators with large localizable spectrum ⋮ On invariant subspaces of subdecomposable operators ⋮ A closer look at Bishop operators ⋮ Common properties of operators \(RS\) and \(SR\) and \(p\)-hyponormal operators ⋮ Totally P-posinormal operators are subscalar ⋮ Invariant subspaces for sequentially subdecomposable operators ⋮ On invariant subspaces of operators in the class \(\theta \) ⋮ An invariant subspace theorem on subdecomposable operators ⋮ Unnamed Item ⋮ Asymptotic intertwining and spectral inclusions on Banach spaces ⋮ On local spectral properties of operator matrices ⋮ \(k\)-spectral sets and invariant subspaces ⋮ Invariant subspaces and localizable spectrum ⋮ Representations of \(H^ \infty(G)\) and invariant subspaces

Cites Work

• Some invariant subspaces for subnormal operators
• A general framwork for a multi-operator functional calculus
• On the duality theorem of bounded S-decomposable operators
• Invariant subspaces, dilation theory, and the structure of the predual of a dual algebra. I
• Hyponormal operators with thick spectra have invariant subspaces
• Two Banach space methods and dual operator algebras
• The single valued extension property on a Banach space
• (BCP)-operators are reflexive
• The space of bounded analytic functions on a region
• Operators with rich invariant subspace lattices.
• Analytical Functional Models and Local Spectral Theory
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