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Quasispectra of solvable Lie algebra homomorphisms into Banach algebras

100%

Dosiev A.

Studia Mathematica

2006

tom 174

nr 1

13-27

We propose a noncommutative holomorphic functional calculus on absolutely convex domains for a Banach algebra homomorphism π of a finite-dimensional solvable Lie algebra 𝔤 in terms of quasispectra σ(π). 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.

Spectral mapping framework

100%

Dosiev A.

Banach Center Publications

2005

tom 67

nr 1

161-169

In this paper we suggest a general framework of the spectral mapping theorem in terms of parametrized Banach space bicomplexes.

Ograniczanie wyników

1 Banach Center Publications

1 Studia Mathematica

2 Dosiev A.

1 2006

1 2005

Wyniki wyszukiwania

Quasispectra of solvable Lie algebra homomorphisms into Banach algebras

Spectral mapping framework