Halmos problems and related results in the theory of invariant subspaces

Abstract operator algebras on Hilbert spaces (47L30) Invariant subspaces of linear operators (47A15) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

Cites Work

An Operator still not Satisfying Lomonosov's Hypothesis
An Extension of Lomonosov’s Techniques to Non-compact Operators
Topological Radicals, V. From Algebra to Spectral Theory
Hyperinvariant subspaces for some compact perturbations of multiplication operators
A reflexive hereditarily indecomposable space with the hereditary invariant subspace property
Ten problems in Hilbert space
A Transitive Medial Subspace Lattice
The Spectrum of Linear Transformations
Rank-one perturbations of diagonal operators
Reducible representations of abelian groups
Radicals in Banach algebras and some problems in the theory of radical Banach algebras
A note on invariant subspaces
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Topological radicals and joint spectral radius
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A hereditarily indecomposable \(\mathcal L_{\infty}\)-space that solves the scalar-plus-compact problem
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Hyponormal operators with thick spectra have invariant subspaces
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Algebras which contain a compact operator
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Volterra semigroups have invariant subspaces
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Some nonhypertransitive operators
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Lomonosov’s theorem cannot be extended to chains of four operators
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