Hostname: page-component-848d4c4894-mwx4w Total loading time: 0 Render date: 2024-06-29T06:26:21.243Z Has data issue: false hasContentIssue false
  • English
  • Français

A note on convexity in Banach spaces

Published online by Cambridge University Press:  24 October 2008

A. F. Ruston
A. F. Ruston
Affiliation:
Sidney Sussex CollegeCambridge
Get access Rights & Permissions [Opens in a new window]

Abstract

An abstract is not available for this content so a preview has been provided. Please use the Get access link above for information on how to access this content.
Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Research Note
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 45 , Issue 1 , January 1949 , pp. 157 - 159
Copyright
Copyright © Cambridge Philosophical Society 1949

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)Banach, S.Théorie des Opérations Linéaires (Warsaw, 1932).Google Scholar
(2)Bohnenblust, H. F. and Sobczyk, A.Extensions of functionals on complex linear spaces. Bull. American Math. Soc. 44 (1938), 91–3.CrossRefGoogle Scholar
(3)Clarkson, J. A.Uniformly convex spaces. Trans. American Math. Soc. 40 (1936), 396–414.CrossRefGoogle Scholar
(4)Pettis, B. J.A proof that every uniformly convex space is reflexive. Duke Math. J. 5 (1939), 249–53.CrossRefGoogle Scholar