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Uniform nonextendability from nets

Author(s): Naor, Assaf

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Abstract: It is shown that there exist Banach spaces X, Y, a 1-net N of X and a Lipschitz function f :.N -> Y such that every F : X -> Y that extends f is not uniformly continuous. (C) 2015 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
Publication Date: Nov-2015
Electronic Publication Date: 21-Oct-2015
Citation: Naor, Assaf. (2015). Uniform nonextendability from nets. COMPTES RENDUS MATHEMATIQUE, 353 (991 - 994. doi:10.1016/j.crma.2015.09.005
DOI: doi:10.1016/j.crma.2015.09.005
ISSN: 1631-073X
EISSN: 1778-3569
Pages: 991 - 994
Type of Material: Journal Article
Version: Author's manuscript

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