Infinite matrices with ``few non-zero entries and without non-trivial invariant subspaces

DOI10.1016/J.JFA.2009.01.015zbMath1162.47006OpenAlexW1980215375MaRDI QIDQ1011421

G. G. Sirotkin

Publication date: 8 April 2009

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2009.01.015

zbMATH Keywords

invariant subspacepositive operatortransitive operator

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Positive linear operators and order-bounded operators (47B65)

Related Items (3)

The structure of almost-invariant half-spaces for some operators ⋮ On positive transitive operators ⋮ On lattices of closed subgroups in the group of infinite triangular matrices over a field.

Cites Work

• Unnamed Item
• Un opérateur sans sous-espace invariant: Simplification de l'exemple de P. Enflo
• On the invariant subspace problem for Banach spaces
• A Solution to the Invariant Subspace Problem
• A Solution to the Invariant Subspace Problem on the Space l ₁
• A Short Proof Concerning the Invariant Subspace Problem
• Quasinilpotent Operators and the Invariant Subspace Problem

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