Invariant subspace theorems for positive operators

DOI10.1006/JFAN.1994.1099zbMath0819.47049OpenAlexW2045381388MaRDI QIDQ1331653

Owen Burkinshaw, Yuri A. Abramovich, Charalambos D. Aliprantis

Publication date: 17 August 1995

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1994.1099

zbMATH Keywords

positive kernel operatorinvariant subspace theorems for positive operators on Banach latticesnon-trivial closed invariant idealquasinilpotent positive Dunford-Pettis operatorquasinilpotent positive operator

Mathematics Subject Classification ID

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

Related Items (17)

Invariant subspaces for positive operators on Banach spaces with unconditional basis ⋮ Some open problems and conjectures associated with the invariant subspace problem ⋮ Joint local quasinilpotence and common invariant subspaces ⋮ On commuting and semi-commuting positive operators ⋮ Principal invariant subspaces theorems ⋮ Compactness-like operator properties preserved by complex interpolation ⋮ Band-diagonal operators on Banach lattices: matrix dynamics and invariant subspaces ⋮ Invariant subspaces of positive strictly singular operators on Banach lattices ⋮ Invariant subspaces of positive quasinilpotent operators on ordered Banach spaces ⋮ On the ideal-triangularizability of positive operators on Banach lattices ⋮ Common invariant subspaces for finitely quasinilpotent collections of positive operators on a Banach space with a Schauder basis ⋮ A characterization of compact-friendly multiplication operators. ⋮ Common invariant subspaces for collections of operators ⋮ Invariant ideals for uniform joint locally quasinilponent operators ⋮ Triangularizing semigroups of positive operators on an atomic normed Riesz Space ⋮ A remark on invariant subspaces of positive operators ⋮ Compact-friendly multiplication operators on Banach function spaces

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