Geodesic
Quasispectra of solvable Lie algebra homomorphisms into Banach algebras
Anar Dosiev1
1 Department of Mathematics Atilim University Incek 06836 Ankara, Turkey
Studia Mathematica, Tome 174 (2006) no. 1, pp. 13-27

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We propose a noncommutative holomorphic functional calculus on absolutely convex domains for a Banach algebra homomorphism $\pi$ of a finite-dimensional solvable Lie algebra $\mathfrak g$ in terms of quasispectra $\sigma(\pi) $. In particular, we prove that the joint spectral radius of a compact subset in a solvable operator Lie subalgebra coincides with the geometric spectral radius with respect to a quasispectrum.
DOI : 10.4064/sm174-1-2
Keywords: propose noncommutative holomorphic functional calculus absolutely convex domains banach algebra homomorphism finite dimensional solvable lie algebra mathfrak terms quasispectra sigma particular prove joint spectral radius compact subset solvable operator lie subalgebra coincides geometric spectral radius respect quasispectrum

Anar Dosiev 1

1 Department of Mathematics Atilim University Incek 06836 Ankara, Turkey 
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Anar Dosiev. Quasispectra of solvable Lie algebra homomorphisms into Banach algebras. Studia Mathematica, Tome 174 (2006) no. 1, pp. 13-27. doi: 10.4064/sm174-1-2

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