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Extreme point properties of convex bodies in reflexive Banach spaces

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Abstract

A study is made of topological and cardinality properties of the set of extreme points of bounded closed convex sets with interior in reflexive Banach spaces. Some related results, and applications to earlier work, are obtained as corollaries.

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Bibliography

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The work on this paper was supported by the National Science Foundation, and was performed while the first named author was visiting at the University of Washington.

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Lindenstrauss, J., Phelps, R.R. Extreme point properties of convex bodies in reflexive Banach spaces. Israel J. Math. 6, 39–48 (1968). https://doi.org/10.1007/BF02771604

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  • DOI: https://doi.org/10.1007/BF02771604

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