Accessible Prime Ideals in Commutative Banach Algebras
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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
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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
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Copyright (c) 1999 Ramesh V. Garimella
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