Highly Influenced

4 Excerpts

- Published 2004

Given a Banach algebra A, the compactum of A is defined to be the set of elements x g A such that the operator a xax is compact. General properties of the compactum and its relation to the socle of A are discussed. Characterizations of finite dimensionality of a seml-slmple Banach algebra are given in terms of the compactum and the socle of A.

@inproceedings{MOAJIL2004TheCA,
title={The Compactum and Finite Dimensionality in Banach Algebras},
author={A . H . AL - MOAJIL},
year={2004}
}