On almost-invariant subspaces and approximate commutation

DOI10.1016/j.jfa.2012.11.010zbMath1288.47008arXiv1204.4621OpenAlexW2964066631MaRDI QIDQ1939357

Alexey I. Popov, Laurent W. Marcoux, Heydar Radjavi

Publication date: 4 March 2013

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

Full work available at URL: https://arxiv.org/abs/1204.4621

zbMATH Keywords

operator algebrascommutationalmost-invariant subspace

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15)

Related Items (12)

Near-invariant subspaces for matrix groups are nearly invariant ⋮ Almost-invariant and essentially-invariant halfspaces ⋮ Every operator has almost-invariant subspaces ⋮ Invariant subspace problem for rank-one perturbations: the quantitative version ⋮ The structure of almost-invariant half-spaces for some operators ⋮ ALMOST INVARIANT HALF-SPACES FOR OPERATORS ON HILBERT SPACE ⋮ ON THE DECOMPOSITION OF OPERATORS WITH SEVERAL ALMOST-INVARIANT SUBSPACES ⋮ Controlling almost-invariant halfspaces in both real and complex settings ⋮ The invariant subspace problem for rank-one perturbations ⋮ Unnamed Item ⋮ On quasinilpotent operators and the invariant subspace problem ⋮ Invariant and almost-invariant subspaces for pairs of idempotents

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