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Matjaz Omladic - Irreducible semigroups with multiplicative spectral radius
MATJAZ OMLADIC, Department of Mathematics, University of Ljubljana, Jadranska 19, 1000 Ljubljana, Slovenia | |
Irreducible semigroups with multiplicative spectral radius |
Irreducible multiplicative semigroups of complex matrices with some additional properties are studied. Each of the properties: submultiplicativity of the spectral radius, its multiplicativity, or its constancy, as well as a certain property called the ``Rota condition'' implies that every member of such a semigroup is, except for a scalar coefficient, similar to the direct sum of an isometry and a nilpotent operator.
eo@camel.math.ca