The product of a Gâteaux differentiability space and a separable space is a Gâteaux differentiability space

Authors:
Lixin Cheng and Marián Fabian

Journal:
Proc. Amer. Math. Soc. **129** (2001), 3539-3541

MSC (2000):
Primary 46B20, 46G05, 26E15, 58C20

Published electronically:
July 2, 2001

MathSciNet review:
1860485

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Abstract | References | Similar Articles | Additional Information

This paper shows that the product of a Gâteaux differentiability space and a separable Banach space is again a Gâteaux differentiability space.

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Additional Information

**Lixin Cheng**

Affiliation:
Department of Mathematics, Xiamen University, Xiamen 361005, People’s Republic of China

**Marián Fabian**

Affiliation:
Mathematical Institute, Czech Academy of Sciences, Žitná 25, 115 67 Prague 1, Czech Republic

DOI:
https://doi.org/10.1090/S0002-9939-01-06252-9

Keywords:
Convex function,
Banach space,
G\^ateaux differentiability space

Received by editor(s):
March 16, 2000

Published electronically:
July 2, 2001

Additional Notes:
The first author was supported by NSFC 10071063, F00021

The second author was supported by GA ČR 201-98-1449, GA ČR 201/01/1198, and AV 1019003

Communicated by:
Jonathan M. Borwein

Article copyright:
© Copyright 2001
American Mathematical Society