Invariant sublattices

zbMath1187.47009MaRDI QIDQ733325

Vladimir G. Troitsky, Heydar Radjavi

Publication date: 15 October 2009

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ijm/1248355343

zbMATH Keywords

Banach latticepositive operatorinvariant sublattice

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Invariant subspaces of linear operators (47A15) Positive linear operators and order-bounded operators (47B65)

Related Items (3)

Invariant subspaces for positive operators on Banach spaces with unconditional basis ⋮ Persistence of Banach lattices under nonlinear order isomorphisms ⋮ Band-diagonal operators on Banach lattices: matrix dynamics and invariant subspaces

Cites Work

• Irreducible compact operators
• On the invariant subspace problem for Banach spaces
• Banach lattices
• Volterra semigroups have invariant subspaces
• Decomposability and structure of nonnegative bands in \({\mathcal M}_n(\mathbb{R})\)
• The Perron-Frobenius theorem revisited
• Simultaneous triangularization
• A Solution to the Invariant Subspace Problem
• Common invariant subspaces for collections of operators
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