A Gâteaux differentiability space that is not weak Asplund-Reference-Cited by-同舟云学术

A Gâteaux differentiability space that is not weak Asplund

Published:2006-04-07 Issue:9 Volume:134 Page:2745-2754
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Moors Warren,Somasundaram Sivajah

Abstract

In this paper we construct a Gâteaux differentiability space that is not a weak Asplund space. Thus we answer a question raised by David Larman and Robert Phelps from 1979.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2006-134-09/S0002-9939-06-08402-4/S0002-9939-06-08402-4.pdf

Reference12 articles.

1. Generic Gateaux differentiability of convex functionals in 𝐶(𝑇) and the topological properties of 𝑇;Coban, Mitrofan M.,1986

2. Canadian Mathematical Society Series of Monographs and Advanced Texts;Fabian, Marián J.,1997

3. Research Notes in Mathematics;Giles, John R.,1982

4. O. F. K. Kalenda, Weak Stegall spaces, unpublished manuscript, Spring 1997 (3 pages).

5. Stegall compact spaces which are not fragmentable;Kalenda, Ondřej;Topology Appl.,1999

Cited by 20 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Minimal cusco maps and the topology of uniform convergence on compacta;Filomat;2023

2. Spaces of Minimal Usco and Minimal Cusco Maps as Fréchet Topological Vector Spaces;Advances in Topology and Their Interdisciplinary Applications;2023

3. Fréchet subspaces of minimal usco and minimal cusco maps;Bulletin of the Belgian Mathematical Society - Simon Stevin;2022-12-30

4. Approximation and Gâteaux differentiability of convex function in Banach spaces;Mathematische Nachrichten;2021-12

5. Gâteaux differentiability and uniform monotone approximation of convex functions in Banach spaces;Acta Mathematica Hungarica;2021-05-06