Why the theorem of Scheffé should be rather called a theorem of Riesz
✍ Scribed by Norbert Kusolitsch
- Publisher
- Springer Netherlands
- Year
- 2010
- Tongue
- English
- Weight
- 108 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0031-5303
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Let C p be the collection of real-valued functions f defined on E &p such that f is uniformly continuous on bounded subsets of Then C is a complete countably normed space equipped with the family [&}& , p : p=1, 2, 3, ...] of norms. In this paper it is shown that to every bounded linear functional
of Denton (Texas) (Eingegangen am 4.6. 1971) ## 1. Definitions Let a, be a giveninfinite series and let A, = il (n) be a positive inonotonic function of n tending t o infinity with n. We write The series z c n , i s said to he summable (R, An, r ) , r 2 0, t o sum s, if A > ( w ) / w ' --+ s, as