An Extension of Lomonosov’s Techniques to Non-compact Operators

DOI10.1090/S0002-9947-96-01612-1zbMath0856.47007OpenAlexW1831238004MaRDI QIDQ4889947

Aleksander Simonič

Publication date: 27 January 1997

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-96-01612-1

zbMATH Keywords

transitive algebraessentially selfadjoint operatorassociated Lomonosov spaceBurnside's Theoreminvariant subspace problem for compact perturbations of selfadjoint operatorsLomonosov's techniquesnot necessarily compact operators

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Spaces of linear operators; topological tensor products; approximation properties (46A32) Convex sets and cones of operators (47L07)

Related Items (11)

Lomonosov’s invariant subspace theorem for multivalued linear operators ⋮ A new method for constructing invariant subspaces ⋮ On quasinilpotent operators ⋮ Some open problems and conjectures associated with the invariant subspace problem ⋮ Invariant subspaces for commuting operators on a real Banach space ⋮ Halmos problems and related results in the theory of invariant subspaces ⋮ An Extension of Lomonosov’s Techniques to Non-compact Operators ⋮ Positive functionals on general operator algebras ⋮ Completely indecomposable operators and a uniqueness theorem of Cartwright-Levinson type: Addendum ⋮ The existence of translation invariant subspaces of symmetric self-adjoint sequence spaces on \(\mathbb{Z}\) ⋮ Invariant and almost-invariant subspaces for pairs of idempotents

Cites Work

• An extension of Burnside's theorem to infinite-dimensional spaces
• Operator theory in function spaces and Banach lattices. Essays dedicated to A. C. Zaanen on the occasion of his 80th birthday. Symposium, Univ. of Leiden, NL, September 1993
• The Stone-Weierstrass Theorem
• A Solution to the Invariant Subspace Problem on the Space l ₁
• On Real Invariant Subspaces of Bounded Operators with Compact Imaginary Part
• A Construction of Invariant Subspaces
• An Extension of Lomonosov’s Techniques to Non-compact Operators
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: An Extension of Lomonosov’s Techniques to Non-compact Operators