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On the Hahn-Banach extension property

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posted on 2025-05-08, 14:23 authored by Jonathan M. Borwein
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.

History

Journal title

Proceedings of the American Mathematical Society

Volume

86

Issue

1

Pagination

42-46

Publisher

American Mathematical Society (AMS)

Language

  • en, English

College/Research Centre

Faculty of Science and Information Technology

School

School of Mathematical and Physical Sciences

Rights statement

First published in Proceedings of the American Mathematical Society in Vol. 86, No. 1, pp. 42-46, 1982, published by the American Mathematical Society.

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    Keywords

    ordered vector spaceHahn-Banach extension propertyleast upper boundLagrange multiplier theorem

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