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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Unique Hahn-Banach extensions and Korovkin's theorem

Author: Lynn C. Kurtz
Journal: Proc. Amer. Math. Soc. 47 (1975), 413-416
MSC: Primary 46B05; Secondary 41A65
MathSciNet review: 0388050
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Abstract: This paper characterizes in terms of weak topologies those bounded linear functionals on a subspace which have unique Hahn-Banach extensions to the whole linear normed space. The relationship to the Choquet boundary is discussed, and a Korovkin type theorem is obtained.

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PII: S 0002-9939(1975)0388050-0
Keywords: Hahn-Banach extension, Choquet boundary, Korovkin's theorem, weak topology
Article copyright: © Copyright 1975 American Mathematical Society