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Square roots in Banach *-algebras

Published online by Cambridge University Press:  18 May 2009

F. F. Bonsall  and
D. S. G. Stirling
F. F. Bonsall
Affiliation:
University of Edinburgh
D. S. G. Stirling
Affiliation:
University of Edinburgh
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Extract

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We give a simple proof of the lemma of Ford [1] on the existence of self-adjoint square roots in Banach*-algebras in which continuity of the involution is not assumed.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 13 , Issue 1 , March 1972 , pp. 74
Copyright
Copyright © Glasgow Mathematical Journal Trust 1972

References

REFERENCES

1.Ford, J. W. M., A square root lemma for Banach-algebras, J. London Math. Soc. 42 (1967), 521–522.Google Scholar
2.Holmes, R. B., A formula for the spectral radius of an operator, Amer. Math. Monthly 75 (1968), 163–166.Google Scholar