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Two results on very strongly homogeneous algebras

Published online by Cambridge University Press:  24 October 2008

T. W. Körner
T. W. Körner
Affiliation:
Trinity Hall, Cambridge
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Abstract

We show that under quite general circumstances a Banach algebra R need not be closed in its tilda algebra . In answer to a query of Katznelson we show that there is a very strongly homogeneous algebra B ≠ C0(R) on R with R as carrier space such that non-analytic functions operate on B.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 68 , Issue 2 , September 1970 , pp. 363 - 376
Copyright
Copyright © Cambridge Philosophical Society 1970

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References

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