Common invariant subspaces for collections of operators

DOI10.1007/BF01332655zbMath0994.47008MaRDI QIDQ5937375

Roman Drnovšek

Publication date: 29 September 2002

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

Banach latticesemigroupinvariant subspacecompact operatorjoint spectral radiusfinitely quasinilpotentHilden's ping-pong methodLomonosov's invariant subspace theorempositive operatorsquasinilpotent at some vector

Mathematics Subject Classification ID

Banach lattices (46B42) Groups and semigroups of linear operators (47D03) Invariant subspaces of linear operators (47A15) Positive linear operators and order-bounded operators (47B65)

Related Items (14)

On commuting and semi-commuting positive operators ⋮ From local to global ideal-triangularizability ⋮ Multiplicative coordinate functionals and ideal-triangularizability ⋮ On separability of the unbounded norm topology ⋮ Positive matrix semigroups with binary diagonals ⋮ Invariant subspaces of positive quasinilpotent operators on ordered Banach spaces ⋮ Common invariant subspaces for finitely quasinilpotent collections of positive operators on a Banach space with a Schauder basis ⋮ Standard triangularization of semigroups of non-negative operators ⋮ Invariant sublattices ⋮ Invariant subspaces of super left-commutants ⋮ A version of Lomonosov’s theorem for collections of positive operators ⋮ A note on spectral sublinearity for collections of positive compact operators on Banach lattices ⋮ A remark on invariant subspaces of positive operators ⋮ An irreducible semigroup of non-negative square-zero operators

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