An irreducible semigroup of non-negative square-zero operators

DOI10.1007/BF01270922zbMath1011.47004MaRDI QIDQ1600107

Matjaž Omladič, Leo Livshits, Heydar Radjavi, Gordon Wilson MacDonald, Roman Drnovšek, Damjana Kokol Bukovšek

Publication date: 1 June 2003

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

zbMATH Keywords

operator semigroupirreducible semigroupreducibility of semigroupssquare-zero operator

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Invariant subspaces of linear operators (47A15) Algebraic systems of matrices (15A30)

Related Items (8)

From local to global ideal-triangularizability ⋮ Multiplicative coordinate functionals and ideal-triangularizability ⋮ Common invariant subspaces for finitely quasinilpotent collections of positive operators on a Banach space with a Schauder basis ⋮ Standard triangularization of semigroups of non-negative operators ⋮ Common invariant subspaces for collections of operators ⋮ On algebras of polynomially compact operators ⋮ A version of Lomonosov’s theorem for collections of positive operators ⋮ Ideal-triangularizability of nil-algebras generated by positive operators

Cites Work

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• A nil algebra of bounded operators on Hilbert space with semisimple norm closure
• Volterra semigroups have invariant subspaces
• Simultaneous triangularization
• Triangularizing semigroups of positive operators on an atomic normed Riesz Space
• Irreducible Semigroups of Functionally Positive Nilpotent Operators
• Common invariant subspaces for collections of operators

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