Nilpotent commutators and reducibility of semigroups

DOI10.1080/03081080701669358zbMath1171.15016OpenAlexW2002840982MaRDI QIDQ3625590

Heydar Radjavi, Matjaž Omladič

Publication date: 5 May 2009

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

Full work available at URL: https://doi.org/10.1080/03081080701669358

zbMATH Keywords

reducibilityinvertible matricesinvariant subspacescommutatorsmultiplicative semigroupnilpotent operatorsfinite-dimensional vector space

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Algebraic systems of matrices (15A30)

Related Items (3)

Interplay of Simple and Selfadjoint-ideal semigroups in B(H) ⋮ Self-adjoint semigroups with nilpotent commutators ⋮ Common invariant subspaces from small commutators

Cites Work

• Simultaneous triangularization
• Structure of algebras
• Operator semigroups with quasinilpotent commutators

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