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Another proof that the inclusion I: ι1→ι2 is 0-radonifying

Published online by Cambridge University Press:  24 October 2008

D. J. H. Garling
D. J. H. Garling
Affiliation:
St John's College, Cambridge
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Extract

Kwapień(2) and Schwartz (3) have shown that the inclusion mapping I: ι1→ι2 is 0-radonifying. We shall give another proof of this, using an inequality due to Khint-chine(1).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 71 , Issue 1 , January 1972 , pp. 61 - 62
Copyright
Copyright © Cambridge Philosophical Society 1972

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References

REFERENCES

(1)Khintchine, A.Über dyadische Bruche. Math. Z. 18 (1923), 109–116.CrossRefGoogle Scholar
(2)Kwapień, S.Complément au théorème de Sazonov-Minlos. C.R. Acad. Sci., Paris Sér. A, 267 (1968), 698–700.Google Scholar
(3)Schwartz, L.Probabilitées cylindriques et applications radonifiantes. C.R. Acad. Sci. Paris Sér. A, 268 (1969), 646–648.Google Scholar
(4)Schwartz, L.Applications radonifiantes (Séminaire Laurent Schwartz, École Polytechnique 1969–1970).Google Scholar