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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
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Abstract

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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

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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