Hostname: page-component-77c89778f8-gq7q9 Total loading time: 0 Render date: 2024-07-17T23:32:50.388Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

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