An equivalent formulation of the invariant subspace conjecture

DOI10.1090/S0002-9904-1972-13090-8zbMath0266.47007OpenAlexW2095613712WikidataQ123259456 ScholiaQ123259456MaRDI QIDQ5683286

James A. Dyer, E. A. Pedersen, Pasquale Porcelli

Publication date: 1972

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

Full work available at URL: https://doi.org/10.1090/s0002-9904-1972-13090-8

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) Invariant subspaces of linear operators (47A15) Structure theory of linear operators (47A65)

Related Items (14)

Hilbert space operators with compatible off-diagonal corners ⋮ Iterative actions of normal operators ⋮ Reducing subspaces for rank-one perturbations of normal operators ⋮ Measurable choice and the invariant subspace problem ⋮ Isometric Dilations of Non-Commuting Finite Rank n-Tuples ⋮ On Direct Sums of Reductive Operators ⋮ Some conditions on a reductive operator implying normality or spectrality ⋮ Invariant subspaces in the theory of operators and theory of functions ⋮ Invariant subspaces of operator algebras ⋮ Non-self-adjoint operator algebras in Hilbert space ⋮ Hyperinvariant Subspaces of Reductive Operators ⋮ On the symmetric commutant - canonical decomposition of families of Hilbert space operators ⋮ A Note on Reductive Operators ⋮ A Reduction Theory For Non-Self-Adjoint Operator Algebras

Cites Work

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• Solution of an invariant subspace problem of K. T. Smith and P. R. Halmos
• Invariante Unterräume von polynom-kompakten Operatoren
• Invariant subspaces of completely continuous operators
• On rings of operators

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