On commutators and invariant subspaces†

DOI10.1080/03081088108817383zbMath0455.15011OpenAlexW2087934765MaRDI QIDQ3903123

Man-Duen Choi, Heydar Radjavi, Cecelia Laurie

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1080/03081088108817383

zbMATH Keywords

invariant subspacescommutatorssimultaneously triangularizable

Mathematics Subject Classification ID

Commutativity of matrices (15A27) Canonical forms, reductions, classification (15A21)

Related Items (5)

A new approach to simple modules for preprojective algebras ⋮ Triangularizable Algebras of Compact Operators ⋮ Invariant subspaces of operator algebras ⋮ Common invariant subspaces from small commutators ⋮ Invariant subspaces for semigroups of algebraic operators

Cites Work

• Unnamed Item
• Kato-Taussky-Wielandt commutator relations
• Density theorems for algebras of operators and annihilator Banach algebras
• A note on pairs of matrices with rank one commutator
• Some generators for the algebra ofn×nmatrices
• Simultaneous triangularization of matrices—low rank cases and the nonderogatory case
• On Similarity and the Diagonal of a Matrix

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