On reducibility of semigroups of compact quasinilpotent operators

DOI10.1090/S0002-9939-97-04108-7zbMath0883.47001MaRDI QIDQ4372284

Roman Drnovšek

Publication date: 11 December 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

reducibilityLomonosov's invariant subspace theoremreduciblesimultaneous triangularizabilitymultiplicative semigroup of compact operatorsRota-Strang spectral radiussemigroup of compact quasinilpotent operators

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Invariant subspaces of linear operators (47A15)

Related Items (2)

Common invariant subspaces for collections of operators ⋮ Joint spectral radius, operator semigroups, and a problem of W. Wojtyński

Cites Work

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• A nil algebra of bounded operators on Hilbert space with semisimple norm closure
• Hilden's simple proof of Lomonosov's invariant subspace theorem
• On Quasinilpotent Semigroups of Operators
• Simultaneous Triangularizability, Near Commutativity and Rota's Theorem
• Formulas for the Joint Spectral Radius of Non-Commuting Banach Algebra Elements

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