The product of a Gâteaux differentiability space and a separable space is a Gâteaux differentiability space (Q2750847)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: The product of a Gâteaux differentiability space and a separable space is a Gâteaux differentiability space |
scientific article; zbMATH DE number 1663093
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The product of a Gâteaux differentiability space and a separable space is a Gâteaux differentiability space |
scientific article; zbMATH DE number 1663093 |
Statements
The product of a Gâteaux differentiability space and a separable space is a Gâteaux differentiability space (English)
0 references
21 October 2001
0 references
Gateaux derivative
0 references
Gateaux differentiability space
0 references
convex function
0 references
A Banach space is said to be a Gâteaux differentiability space if every continuous convex function on it is Gâteaux differentiable at the points of a dense set. Extending a result of the second named author, it is shown that the product of a Gâteaux differentiability space and a separable Banach space is again a Gâteaux differentiability space.
0 references
