Minimal vectors in arbitrary Banach spaces

DOI10.1090/S0002-9939-03-07223-XzbMath1060.47011arXivmath/0301269OpenAlexW1919483878MaRDI QIDQ4452209

Vladimir G. Troitsky

Publication date: 12 February 2004

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

Full work available at URL: https://arxiv.org/abs/math/0301269

zbMATH Keywords

Banach spacesLomonosov theorembounded quasinilpotent operatorexistence of nontrivial hyperinvariant subspacesmethod of minimal vectors

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15)

Related Items (8)

Positive answer to the invariant and hyperinvariant subspaces problems for hyponormal operators ⋮ A note on transitive localizing algebras ⋮ Convergence properties of minimal vectors for normal operators and weighted shifts ⋮ Halmos problems and related results in the theory of invariant subspaces ⋮ Invariant subspaces of positive quasinilpotent operators on ordered Banach spaces ⋮ Hyperinvariant subspaces for quasinilpotent operators on Hilbert spaces ⋮ Invariant subspaces of super left-commutants ⋮ An overview of some recent developments on the Invariant Subspace Problem

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