Band-diagonal operators on Banach lattices: matrix dynamics and invariant subspaces

DOI10.1016/J.LAA.2023.05.017OpenAlexW4378768028MaRDI QIDQ6173917

F. Javier González-Doña, Eva A. Gallardo-Gutiérrez

Publication date: 13 July 2023

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2023.05.017

zbMATH Keywords

invariant subspacesinvariant idealsmatrix dynamicsband-diagonal operators

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Linear operators on ordered spaces (47B60) Positive linear operators and order-bounded operators (47B65)

Cites Work

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• Invariant sublattices
• Irreducible compact operators
• Invariant subspaces of operators on \(\ell_ p\)-spaces
• Invariant subspace theorems for positive operators
• Invariant subspaces for tridiagonal operators.
• Invariant sublattices for positive operators
• A remark on invariant subspaces of positive operators
• A version of Lomonosov’s theorem for collections of positive operators
• Invariant Subspaces for Positive Operators Acting on a Banach Space with Basis
• Invariant subspaces for positive operators on Banach spaces with unconditional basis
• Minimal vectors of positive operators

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