Invariant ideals for uniform joint locally quasinilponent operators

DOI10.1216/RMJ-2009-39-5-1699zbMath1179.47007OpenAlexW1979461931MaRDI QIDQ734589

A. Fernández Valles

Publication date: 13 October 2009

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-2009-39-5-1699

zbMATH Keywords

Banach lattice\(N\)-tuple of operatorscommon closed invariant idealjoint compact-friendlyjoint local quasinilpotence

Mathematics Subject Classification ID

Banach lattices (46B42) Linear operators defined by compactness properties (47B07) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Invariant subspaces of linear operators (47A15) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Related Items (1)

A remark on invariant subspaces of positive operators

Cites Work

• A characterization of compact-friendly multiplication operators.
• Joint local quasinilpotence and common invariant subspaces
• Invariant subspaces of operators on \(\ell_ p\)-spaces
• Invariant subspace theorems for positive operators
• On the existence of invariant subspaces and reflexivity of \(N\)-tuples of operators
• On common invariant subspaces for commuting contractions with rich spectrum
• Invariant Subspaces for Positive Operators Acting on a Banach Space with Basis
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