Invariant subspaces of positive quasinilpotent operators on ordered Banach spaces

DOI10.1007/s11117-007-2124-4zbMath1149.47006OpenAlexW2062895981MaRDI QIDQ931392

Vladimir G. Troitsky, Hailegebriel E. Gessesse

Publication date: 25 June 2008

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-007-2124-4

zbMATH Keywords

coneinvariant subspacepositive operatorordered normed spacequasinilpotent operatorsKrein spacesminimal vector

Mathematics Subject Classification ID

Banach lattices (46B42) Invariant subspaces of linear operators (47A15) Linear operators on spaces with an indefinite metric (47B50)

Related Items (4)

Error estimates for halfspace regularization of state constrained multiobjective elliptic control problems ⋮ A note on transitive localizing algebras ⋮ Principal invariant subspaces theorems ⋮ Invariant subspaces of super left-commutants

Cites Work

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• Positive operators on Krein spaces
• Invariant subspaces for compact-friendly operators in Sobolev spaces
• Sesquitransitive and localizing operator algebras
• Invariant subspaces of operators on \(\ell_ p\)-spaces
• Invariant subspace theorems for positive operators
• A theorem of Krein revisited
• Elliptic Partial Differential Equations of Second Order
• Extremal vectors and invariant subspaces
• Approximation in reflexive Banach spaces and applications to the invariant subspace problem
• Minimal vectors in arbitrary Banach spaces
• On quasinilpotent operators
• Minimal vectors of positive operators
• Common invariant subspaces for collections of operators

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