On the Hahn-Banach extension property-Reference-Cited by-同舟云学术

On the Hahn-Banach extension property

Published:1982 Issue:1 Volume:86 Page:42-46
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Borwein Jonathan M.

Abstract

A self-contained and brief proof is given of the equivalence of the Hahn-Banach extension property (HB) and the conditional order completeness of the range space (LUB). Various other equivalences are discussed.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1982-086-01/S0002-9939-1982-0663863-X/S0002-9939-1982-0663863-X.pdf

Reference13 articles.

1. The Hahn-Banach theorem for finite dimensional spaces;Bonnice, William E.;Trans. Amer. Math. Soc.,1966

2. The Hahn-Banach extension and the least upper bound properties are equivalent;Bonnice, W. E.;Proc. Amer. Math. Soc.,1967

3. A Lagrange multiplier theorem and a sandwich theorem for convex relations;Borwein, J. M.;Math. Scand.,1981

4. Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 21;Day, Mahlon M.,1973

5. Konjugierte Operatoren und Subdifferentiale;Elster, Karl-Heinz;Math. Operationsforsch. Statist.,1975

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