Invariant Subspaces for Positive Operators Acting on a Banach Space with Basis

DOI10.2307/2160990zbMath0822.47037OpenAlexW4236206498MaRDI QIDQ4845887

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

Publication date: 22 October 1995

Full work available at URL: https://doi.org/10.2307/2160990

zbMATH Keywords

Schauder basisquasinilpotent operatorinvariant subspace theorems for operators acting on an \(\ell_ p\)-space

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Linear operators on ordered spaces (47B60) Positive linear operators and order-bounded operators (47B65) Ordered topological linear spaces, vector lattices (46A40) Ordered normed spaces (46B40)

Related Items

Invariant subspaces for positive operators on Banach spaces with unconditional basis ⋮ Charalambos D. Aliprantis (1946-2009) ⋮ Band-diagonal operators on Banach lattices: matrix dynamics and invariant subspaces ⋮ Operators on the space of bounded strongly measurable functions ⋮ 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 ⋮ Invariant ideals for uniform joint locally quasinilponent operators

Cites Work

• Positive operators on Krein spaces
• Invariant subspaces of operators on \(\ell_ p\)-spaces
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