Uniform approximation of vector-valued functions
β Scribed by Lee W. Johnson
- Publisher
- Springer-Verlag
- Year
- 1969
- Tongue
- English
- Weight
- 444 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0029-599X
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π SIMILAR VOLUMES
In this paper, which is a continuation of Timofte (J. Approx. Theory 119 (2002) 291-299, we give special uniform approximations of functions from C X #Y Γ°T Γ SΓ and C N Γ°T Γ S; X #Y Γ by elements of the tensor products C X Γ°TΓ#C Y Γ°SΓ; respectively C 0 Γ°T; X Γ#C 0 Γ°S; Y Γ; for topological spaces T;
## Abstract A real locally convex space is said to be __convenient__ if it is separated, bornological and Mackeyβcomplete. These spaces serve as underlying objects for a whole theory of differentiation and integration (see [4]) upon which infinite dimensional differential geometry is based (cf. [8]