Geodesic
Analytic joint spectral radius in a solvable Lie algebra of operators
Daniel Beltiţă1
1Institute of Mathematics “Simion Stoilow" of the Romanian Academy P.O. Box 1-764 RO-70700 Bucureşti, Romania
Studia Mathematica, Tome 144 (2001) no. 2, pp. 153-167
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We introduce the concept of analytic spectral radius for a family of operators indexed by some finite measure space. This spectral radius is compared with the algebraic and geometric spectral radii when the operators belong to some finite-dimensional solvable Lie algebra. We describe several situations when the three spectral radii coincide. These results extend well known facts concerning commuting $n$-tuples of operators.
DOI : 10.4064/sm144-2-4
Keywords: introduce concept analytic spectral radius family operators indexed finite measure space spectral radius compared algebraic geometric spectral radii operators belong finite dimensional solvable lie algebra describe several situations three spectral radii coincide these results extend known facts concerning commuting n tuples operators

Daniel Beltiţă  1

1 Institute of Mathematics “Simion Stoilow" of the Romanian Academy P.O. Box 1-764 RO-70700 Bucureşti, Romania 
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Daniel Beltiţă. Analytic joint spectral radius in a
solvable Lie algebra of operators. Studia Mathematica, Tome 144 (2001) no. 2, pp. 153-167. doi: 10.4064/sm144-2-4

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