Page 1

Displaying 1 – 1 of 1

Showing per page

Quasispectra of solvable Lie algebra homomorphisms into Banach algebras

Anar Dosiev (2006)

Studia Mathematica

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.

Currently displaying 1 – 1 of 1

Page 1