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

DOI10.1006/JFAN.1993.1097zbMath0819.47006OpenAlexW2001288205MaRDI QIDQ1316377

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

Publication date: 14 March 1994

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

Full work available at URL: https://doi.org/10.1006/jfan.1993.1097

zbMATH Keywords

invariant subspace resultsnon-trivial complemented closed invariant subspacepositive operators on \(\ell^ p\)quasinilpotent at a non-zero positive point

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Related Items (15)

Invariant subspaces for positive operators on Banach spaces with unconditional basis ⋮ Spectrum localizations for matrix operators on \(l^p\) spaces ⋮ Some open problems and conjectures associated with the invariant subspace problem ⋮ On commuting and semi-commuting positive operators ⋮ Band-diagonal operators on Banach lattices: matrix dynamics and invariant subspaces ⋮ Invariant subspaces of positive quasinilpotent operators on ordered Banach spaces ⋮ Invariant subspace problem and compact operators on non-Archimedean Banach spaces ⋮ On the ideal-triangularizability of positive operators on Banach lattices ⋮ Invariant subspaces for positive operators on locally convex solid Riesz spaces ⋮ Common invariant subspaces for finitely quasinilpotent collections of positive operators on a Banach space with a Schauder basis ⋮ Invariant Subspaces for Positive Operators Acting on a Banach Space with Basis ⋮ 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

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