| In this paper, which is a sequel to [7], we will review some of the latest advances that have accurred in the study of weak Asplund spaces since [7] was written. Specifically, we will examine the recently discovered example of a Gateaux differentiability space that is not weak Asplund with the hope of presenting a proof that is simpler and more accessible than the proof given in [8] and which shows the similarity between this new example and the earlier examples of Banach spaces that are (i) weak Asplund but not in Stegall's class and (ii) in Stegall's class but whose dual space is not weak* fragmentable. |
Keywords
weak Asplund space, Gateaux differentiability space, Stegall space, fragmentable space.
Math Review Classification
Primary 54C60
; Secondary 26E25
Last Updated
20/07/03
Length
12 pages
Availability
This article is available in: