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The product of a Gâteaux differentiability space and a separable space is a Gâteaux differentiability space
Authors:Lixin Cheng  Mariá  n Fabian
Institution:Department of Mathematics, Xiamen University, Xiamen 361005, People's Republic of China

Marián Fabian ; Mathematical Institute, Czech Academy of Sciences, Zitná 25, 115 67 Prague 1, Czech Republic

Abstract:

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

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