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A note on B*-algebras

Published online by Cambridge University Press:  18 May 2009

I. S. Murphy
I. S. Murphy
Affiliation:
University of Glasgow, Glasgow G12 8QQ
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Let A be a Banach *-algebra. We assume neither that A has an identity element, nor that the involution on A is continuous.

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 14 , Issue 2 , September 1973 , pp. 185 - 186
Copyright
Copyright © Glasgow Mathematical Journal Trust 1973

References

REFERENCES

1.Bonsall, F. F., A survey of Banach algebra theory, Bull. London Math. Soc. 2 (1970), 257–274.CrossRefGoogle Scholar
2.Ford, J. W. M., A square root lemma for Banach *-algebras, J. London Math. Soc. 42 (1967), 521–522.CrossRefGoogle Scholar
3.Grothendieck, A., Un resultant sur le dual d'une C*-algebre, J. Math. Pures Appl. 36 (1957), 97–108.Google Scholar
4.Palmer, T. W., The Gelfand-Naimark pseudo-norm on Banach *-algebras, J. London Math. Soc. (2) 3 (1971), 59–66.CrossRefGoogle Scholar
5.Rickart, C. E., General Theory of Banach Algebras (Princeton, 1960).Google Scholar