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
Department of Mathematics, PanHandle State University, Goodwell 73939, OK, USA
Received 3 October 1988
Copyright © 1991 Morteza Seddighin. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.