The Compactum and Finite Dimensionality in Banach Algebras

  • A . H . AL - MOAJIL
  • Published 2004

Abstract

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.

Cite this paper

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