On rank one and finite elements of Banach algebras

Instytut Matematyczny Polskiej Akademii Nauk / Institute of Mathematics / Publishing house / Journals and Serials / Studia Mathematica / All issues

T. Mouton Studia Mathematica 104 (1993), 211-219 DOI: 10.4064/sm-104-3-211-219

We give a spectral characterisation of rank one elements and of the socle of a semisimple Banach algebra.