On the Asplund Property of Locally Convex Spaces

Author: Wu C.   Wang X.   Cheng L.   Lee E.S.  

Publisher: Academic Press

ISSN: 0022-247X

Source: Journal of Mathematical Analysis and Applications, Vol.204, Iss.2, 1996-12, pp. : 432-443

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Abstract

The aim of this paper is to investigate the Frechet differentiability of continuous convex functions on locally convex spaces, to give the characterization of the Asplund property of locally convex spaces in geometrical terms, and to generalize the Asplund theorem of Mazur Theorem to locally convex spaces.