Gateaux Differentiable Points of Simple Type

Every continuous convex function defined on a separable Banach space is Gateaux differentiable on a dense G^ subset of the space E [Mazur]. Suppose we are given a sequence (xn) that Is dense in E. Can we always find a Gateaux differentiable point x such that x = z^=^anxn.for some sequence (an) with...

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Bibliographic Details
Main Author: Oh, Seung Jae
Other Authors: Bilyeu, Russell Gene
Format: Others
Language:English
Published: North Texas State University 1982
Subjects:
Online Access:https://digital.library.unt.edu/ark:/67531/metadc331018/