Invariant subspaces of positive strictly singular operators on Banach lattices

DOI10.1016/j.jmaa.2008.01.067zbMath1138.47005OpenAlexW1985362406MaRDI QIDQ924208

Vladimir G. Troitsky, Julio Flores, Pedro Tradacete

Publication date: 15 May 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.01.067

zbMATH Keywords

Banach latticeinvariant subspacepositive operatordisjointly strictly singular operatorinvariant idealDunford-Pettis operatorstrictly singular operatorAM-compact operator

Mathematics Subject Classification ID

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

Related Items (5)

A lattice approach to narrow operators ⋮ Principal invariant subspaces theorems ⋮ Invariant subspaces of super left-commutants ⋮ Disjointly homogeneous Banach lattices and compact products of operators ⋮ A remark on invariant subspaces of positive operators

Cites Work

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• Banach lattices
• Invariant subspace theorems for positive operators
• POWERS OF OPERATORS DOMINATED BY STRICTLY SINGULAR OPERATORS
• A Characterization of Banach Spaces Containing l ¹
• Strictly singular operators and the invariant subspace problem
• Minimal vectors of positive operators

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