Special uniform approximations of continuous vector-valued functions. Part II: special approximations in CX(T)⊗CY(S)

✍ Scribed by Vlad Timofte

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 141 KB
• Volume: 123
• Category: Article
• ISSN: 0021-9045
• DOI: 10.1016/s0021-9045(03)00103-5

✦ Synopsis

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 ðT Â SÞ and C N ðT Â S; X #Y Þ by elements of the tensor products C X ðTÞ#C Y ðSÞ; respectively C 0 ðT; X Þ#C 0 ðS; Y Þ; for topological spaces T; S and G-locally convex spaces X ; Y (all four being Hausdorff).