Accessible Prime Ideals in Commutative Banach Algebras

Jump To References Section

Authors

  • Department of Mathematics, Box 5054, Tennessee Technological University, Cookeville, TN-38505 ,US

Abstract

A non-maximal closed prime ideal P in a commutative unital Banach algebra B is said to be accessible if P equals to the intersection of all closed ideals of B properly containing it. In this paper it is shown that a non-maximal closed prime ideal P is accessible if there exists a sequence {In} of ideals properly containing P is such that ∩In=P. Some non-trivial examples of accessible prime ideals are given.

Downloads

Download data is not yet available.

Metrics

Metrics Loading ...

Published

1999-12-01

How to Cite

Garimella, R. V. (1999). Accessible Prime Ideals in Commutative Banach Algebras. The Journal of the Indian Mathematical Society, 66(1-4), 177–183. Retrieved from https://informaticsjournals.com/index.php/jims/article/view/21985