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Generalization of the Fundamental Theorem on Subadditive Functions†

Published online by Cambridge University Press:  24 October 2008

J. M. Hammersley
J. M. Hammersley
Affiliation:
Trinity CollegeOxford
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Extract

Statement of results. Let g(x) be a given real finite function of a real variable x. Let F(g) denote the class of all real Lebesgue-measurable and finite (though possibly unbounded) functions f(x) which satisfy where η may depend upon f Let F* denote the class of all real f(x) such that exists and satisfies − ∞ ≤l<+∞.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 58 , Issue 2 , April 1962 , pp. 235 - 238
Copyright
Copyright © Cambridge Philosophical Society 1962

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References

REFERENCES

(1)Hille, E.Functional analysis and semi-groups (American Math. Soc. Colloq. Publ. no. 31; New York, 1948).Google Scholar