Quasispectra of solvable Lie algebra homomorphisms into Banach algebras

• Autorzy: Anar Dosiev
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 47A13: Several-variable operator theory (spectral, Fredholm, etc.)
• 47A60: Functional calculus
• 17B30: Solvable, nilpotent (super)algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2006
• Tom: 174
• Numer: 1
• Strony: 13-27

Daty

wydano

2006

Twórcy

autor

Anar Dosiev

• Department of Mathematics, Atilim University, Incek 06836, Ankara, Turkey

Identyfikatory

DOI

10.4064/sm174-1-2