Irreducible operator semigroups such that \(AB\) and \(BA\) are proportional

DOI10.1016/j.laa.2003.11.012zbMath1058.15017OpenAlexW2126147811MaRDI QIDQ1826839

Tomasž Košir, Roman Drnovšek

Publication date: 6 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.laa.2003.11.012

zbMATH Keywords

compact operatorirreducibilitymonomial matricesirreducible semigroupgroups and semigroups of operatorsnilpotent matrix groupproportional products

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Groups and semigroups of linear operators (47D03) Invariant subspaces of linear operators (47A15) Algebraic systems of matrices (15A30)

Related Items (1)

On the submultiplicativity and subadditivity of the spectral and essential spectral radius

Cites Work

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• Volterra semigroups have invariant subspaces
• Simultaneous triangularization
• A combinatorial property and growth for semigroups of matrices
• Quasinilpotent Operators and the Invariant Subspace Problem

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