Irreducible semigroups with multiplicative spectral radius
نویسندگان
چکیده
منابع مشابه
On Submultiplicativity of Spectral Radius and Transitivity of Semigroups
It is shown that a transitive, closed, homogeneous semigroup of linear transformations on a finite-dimensional space either has zero divisors or is simultaneously similar to a group consisting of scalar multiples of unitary transformations. The proof begins with the result that for each closed homogeneous semigroup with no zero divisors there is a k such that the spectral radius satisfies r(AB)...
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V. D. Blondel Department of Mathematical Engineering University of Louvain Avenue Georges Lemaitre, 4 B-1348 Louvain-la-Neuve Belgium Email: [email protected] J. Cassaigne Institut de Mathématiques de Luminy UPR 9016 Campus de Luminy, Case 907 13288 Marseille Cedex 9 France Email: [email protected] J. Karhumäki Dept. of Math. & TUCS University of Turku FIN-20014 Turku Finland Email: ...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1997
ISSN: 0024-3795
DOI: 10.1016/0024-3795(95)00544-7