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The union of sets of interpolation for general algebras

Published online by Cambridge University Press:  24 October 2008

T. W. Körner
Affiliation:
Trinity Hall, Cambridge

Abstract

The union of 2 disjoint sets of interpolation need not be of interpolation even if every finite subset is of interpolation with bounded constant.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1973

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References

REFERENCES

(1)Körner, T. W.Sets of synthesis for general algebras. Proc. Cambridge Philos. Soc. 67 (1970), 559.CrossRefGoogle Scholar
(2)Varopoulos, N. Th.Groups of continuous functions in harmonic analysis. Acta Math. 125 (1970), 109.CrossRefGoogle Scholar
(3)Varopoulos, N. Th.Sur la réunion de deux ensembles d'interpolation d'une algèbre uniforme. C.R. Acad. Sci. Paris, Sér. A 272 (1971), 950.Google Scholar