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On the closure of the prime radical of a Banach algebra

Published online by Cambridge University Press:  20 January 2009

D. W. B. Somerset  and
G. A. Willis
D. W. B. Somerset
Affiliation:
‘Thakit Eaves’, Highclere, Near Newbury, Berkshire, RG15 9QU, United Kingdom
G. A. Willis
Affiliation:
Mathematics Research Section, Australian National University, Canberra, A.C.T., 2600, Australia
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Abstract

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The relationship between the prime ideals and the primal ideals of a Banach algebra is investigated. It is shown that the closure of the prime radical of a Banach algebra may be properly contained in the intersection of the closed primal ideals of the algebra.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 36 , Issue 3 , October 1993 , pp. 421 - 425
Copyright
Copyright © Edinburgh Mathematical Society 1993

References

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