A nil algebra of bounded operators on Hilbert space with semisimple norm closure

DOI10.1007/BF01195810zbMath0631.47034OpenAlexW2016484477MaRDI QIDQ1094655

Eric Nordgren, Heydar Radjavi, Peter Rosenthal, Mehdi Radjabalipour, Donald W. Hadwin

Publication date: 1986

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01195810

zbMATH Keywords

nil algebra of bounded operatorsradical normed algebra with semisimple completionsemisimple norm closure

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Groups and semigroups of linear operators (47D03) Abstract operator algebras on Hilbert spaces (47L30)

Related Items (12)

A linear algebra approach to Koethe's problem and related questions ⋮ From local to global triangularization ⋮ On reducibility of semigroups of compact quasinilpotent operators ⋮ Realizing irreducible semigroups and real algebras of compact operators ⋮ Common invariant subspaces for collections of operators ⋮ Irreducible Semigroups of Functionally Positive Nilpotent Operators ⋮ Operator semigroups with quasinilpotent commutators ⋮ On algebras of polynomially compact operators ⋮ A version of Lomonosov’s theorem for collections of positive operators ⋮ Invariant subspaces for semigroups of algebraic operators ⋮ Triangularizability of families of polynomially compact operators ⋮ An irreducible semigroup of non-negative square-zero operators

Cites Work

• Über nilpotente Unterringe
• A Trace Condition Equivalent to Simultaneous Triangularizability
• Nilpotents in Banach Algebras
• Shorter Notes: The Nilpotency of Banach Nil Algebras
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