A Perron–Frobenius type result in Banach algebras via asymptotic closeness to a cone

期刊论文
出版模式：

开放获取
发表日期：

2024年6月12日

查看全文

Gerd Herzog,
Peer Kunstmann

摘要

For an element a of a Banach algebra (scaled to spectral radius 1) we prove that the spectral radius is contained in the spectrum, if the sequence of powers $(a^k)$ $(a^{k})$ is asymptotically not too far from a normal cone.