Lomonosov’s invariant subspace theorem for multivalued linear operators

DOI10.1090/S0002-9939-02-06598-XzbMath1050.47009arXivmath/0008214OpenAlexW1771201264MaRDI QIDQ4780421

Saveliev, Peter

Publication date: 19 November 2002

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

Full work available at URL: https://arxiv.org/abs/math/0008214

zbMATH Keywords

invariant subspacemultivalued maplinear relationLomonosov's theorem

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Invariant subspaces of linear operators (47A15) Spaces of linear operators; topological tensor products; approximation properties (46A32) Linear relations (multivalued linear operators) (47A06)

Related Items (4)

On regular linear relations ⋮ A characterization of some subsets of essential spectra of a multivalued linear operator ⋮ A random multivalued uniform boundedness principle ⋮ Weakly invariant subspaces for multivalued linear operators on Banach spaces

Cites Work

• Invariant subspaces for the family of operators which commute with a completely continuous operator
• A construction of Lomonosov functions and applications to the invariant subspace problem
• An Extension of Lomonosov’s Techniques to Non-compact Operators
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