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A partition of non-synthesis for tensor algebras

Published online by Cambridge University Press:  24 October 2008

S. W. Drury
S. W. Drury
Affiliation:
St John's College, Cambridge
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Extract

1.Introduction. To every closed subalgebra S of a regular algebra R(D) of functions tending to zero at infinity on a discrete space D we define the Rudin spectrum of S to be the partition of D consisting of the equivalence classes of the equivalence relation .

Information

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 67 , Issue 1 , January 1970 , pp. 19 - 21
Copyright
Copyright © Cambridge Philosophical Society 1970

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References

REFERENCES

(1)Rudin, W.Fourier analysis on groups. (Interscience.)Google Scholar
(2)Kahane, J. P.Proceedings of the Tulane University Symposium on Function Algebras (1965), p. 198; Scott, Foresman and Co.Google Scholar
(3)Voropoulos, N. Th.Tensor algebras over discrete spaces. Journal of Functional Analysis 3 (1969), 321–335.CrossRefGoogle Scholar