A dual characterisation of the Radon-Nikodym property - Archive ouverte HAL Access content directly
Journal Articles Bulletin of the Australian Mathematical Society Year : 2000

A dual characterisation of the Radon-Nikodym property

(1) , (2)
1
2
Mohammed Bachir
  • Function : Author
  • PersonId : 960537
Aris Daniilidis
  • Function : Author
  • PersonId : 843792

Abstract

We prove that a Banach space $X$ has the Radon-Nikodym property if, and only if, every weak*-lower semicontinuous convex continuous function $f $ of $X^*$ is Gâteaux differentiable at some point of its domain with derivative in the predual space $X$.
Not file

Dates and versions

hal-01183280 , version 1 (07-08-2015)

Identifiers

  • HAL Id : hal-01183280 , version 1

Cite

Mohammed Bachir, Aris Daniilidis. A dual characterisation of the Radon-Nikodym property. Bulletin of the Australian Mathematical Society, 2000, 62, pp.379-387. ⟨hal-01183280⟩
138 View
0 Download

Share

Gmail Facebook Twitter LinkedIn More