Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Green Open Access
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
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 46B05, 41A65

Retrieve articles in all journals with MSC: 46B05, 41A65


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1975-0388050-0
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