On Commutators of Idempotents

DOI10.1080/03081080290019540zbMath1008.47039OpenAlexW1980355277MaRDI QIDQ4542115

Heydar Radjavi, Peter Rosenthal

Publication date: 1 April 2003

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

Full work available at URL: https://doi.org/10.1080/03081080290019540

zbMATH Keywords

Hilbert spaceidempotentBanach spaceinvariant subspacescommutator

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Commutators, derivations, elementary operators, etc. (47B47)

Related Items (7)

On properties of generalized quadratic operators ⋮ On the dimension of the algebra generated by two positive semi-commuting matrices ⋮ Around the closure of the set of commutators of idempotents in \(\mathcal{B}(\mathcal{H})\): biquasitriangularity and factorisation ⋮ Rank equalities for idempotent matrices with applications. ⋮ Common invariant subspaces from small commutators ⋮ On generalized quadratic matrices ⋮ A characterization of commutators of idempotents

Cites Work

• Simultaneous triangularization of projector matrices
• Simultaneous triangularization
• Invariant Subspaces for Pairs of Projections
• Quasinilpotent Operators and the Invariant Subspace Problem

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