Uniformly weak differentiability of the norm and a condition of Vlasov-Reference-Cited by-同舟云学术

Uniformly weak differentiability of the norm and a condition of Vlasov

Published:1976-06 Issue:4 Volume:21 Page:393-409
ISSN:1446-7887
Container-title:Journal of the Australian Mathematical Society
language:en
Short-container-title:J. Aust. Math. Soc.

Author:

Giles J. R.

Abstract

AbstractIn determining geometrical conditions on a Banach space under which a Chebychev set is convex, Vlasov (1967) introduced a smoothness condition of some interest in itself. Equivalent forms of this condition are derived and it is related to uniformly weak differentiability of the norm and rotundity of the dual norm.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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