International Journal of Mathematics and Mathematical Sciences
Volume 14 (1991), Issue 3, Pages 481-484
doi:10.1155/S0161171291000662

On the ideals of extended quasi-nilpotent Banach algebras

Morteza Seddighin

Department of Mathematics, PanHandle State University, Goodwell 73939, OK, USA

Abstract

Given a quasi-nilpotent Banach algebra A, we will use the results of Seddighin [2], to study the properties of elements which belong to a proper closed two sided ideal of A¯ and A¯¯. Here A¯ is the extension of A to a Banach Algebra with identity.