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Extreme points of unbounded, closed and convex sets in Banach spaces

Published online by Cambridge University Press:  24 October 2008

Ioannis A. Polyrakis
Ioannis A. Polyrakis
Affiliation:
Department of Mathematics, National Technical University of Athens, Patision 42, Greece
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Extract

In this paper we examine the existence of extreme points in unbounded, closed and convex subsets K of a Banach space X.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 95 , Issue 2 , March 1984 , pp. 319 - 323
Copyright
Copyright © Cambridge Philosophical Society 1984

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References

REFERENCES

[1]Dunford, N. and Schwartz, J. T.. Linear Operators I (Interscience, 1958).Google Scholar
[2]Jameson, G. J. O.. Ordered Linear Spaces. Lecture Notes in Math. vol. 141 (Springer-Verlag 1970).CrossRefGoogle Scholar
[3]Jameson, G. J. O.. Topology and Normed Spaces (Chapman and Hall, 1974).Google Scholar
[4]Phelps, R. R.. Dentability and extreme points in Banach spaces. J. Function. Anal. 16 (1974), 79–90.Google Scholar
[5]Schaefer, H. H.. Banack Lattices and Positive Operators (Springer-Verlag 1974).CrossRefGoogle Scholar