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Exponentiation in Banach star algebras

Published online by Cambridge University Press:  20 January 2009

H. G. Dales
H. G. Dales
Affiliation:
School of Mathematics, University of Leeds, Leeds LS2 9JT
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In their recently published book Bonsall and Duncan ask the following question ((1), p. 65): if A is a Banach star algebra with an identity, is it true that

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 20 , Issue 2 , September 1976 , pp. 163 - 165
Copyright
Copyright © Edinburgh Mathematical Society 1976

References

REFERENCES

(1) Bonsall, F. F. and Duncan, J., Complete normed algebras (springer-Verlag, 1973).CrossRefGoogle Scholar
(2) Dales, H. G., The uniqueness of the functional calculus, Proc. London Math. Soc. 27 (1973), 638–648.CrossRefGoogle Scholar
(3) Loy, R. J., Commutative Banach algebras with non-unique complete norm topology, Bull. Austral. Math. Soc. 10 (1974), 409–420.CrossRefGoogle Scholar