[Banach] [Banach Space Bulletin Board] Abstract of a paper by Constantin Costara and Dusan Repov

This is an announcement for the paper “Spectral isometries onto algebras having a separating family of finite-dimensional irreducible representations” by Constantin Costara and Dusan Repov.

Abstract: We prove that if $\mathcal{A}$ is a complex, unital semisimple Banach algebra and $\mathcal{B}$ is a complex, unital Banach algebra having a separating family of finite-dimensional irreducible representations, then any unital linear operator from $\mathcal{A}$ onto $\mathcal{B}$ which preserves the spectral radius is a Jordan morphism.

The paper may be downloaded from the archive by web browser from URL http://arxiv.org/abs/1602.03964