The Shirali–Ford theorem as a consequence of Ptak theory for hermitian Banach algebras
Volume 150 / 2002
Studia Mathematica 150 (2002), 121-132
MSC: Primary 46K05, 46H05; Secondary 46L05.
DOI: 10.4064/sm150-2-2
Abstract
A simple application of Pták theory for hermitian Banach algebras, combined with a result on normed $Q$-algebras, gives a non-technical new proof of the Shirali–Ford theorem. A version of this theorem in the setting of non-normed topological algebras is also provided.