Unique Hahn-Banach extensions and Korovkin’s theorem

Kurtz, Lynn C.

doi:10.1090/S0002-9939-1975-0388050-0

Unique Hahn-Banach extensions and Korovkin’s theorem
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by Lynn C. Kurtz PDF

Proc. Amer. Math. Soc. 47 (1975), 413-416 Request permission

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.

References

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The Milman Choquet boundary and approximation theory

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