A Banach–Stone Theorem for Uniformly Continuous Functions
✍ Scribed by M. Isabel Garrido; Jesús A. Jaramillo
- Publisher
- Springer Vienna
- Year
- 2000
- Tongue
- English
- Weight
- 60 KB
- Volume
- 131
- Category
- Article
- ISSN
- 0026-9255
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
It is shown that if a separable real Banach space X admits a separating analytic Ž Ž . function with an additional condition property K , concerning uniform behaviour . of radii of convergence then every uniformly continuous mapping on X into any real Banach space Y can be approximated by analytic o
Let X be a set and ~ a family of real-valued functions (not necessarily bounded) on X. We denote by/zsX the space X endowed with the weak uniformity generated by ~, and by ~(#~-X) the collection of uniformly contipuous functions ~' o the real line ~. In this note we study necessary and sufficient c
## Abstract We prove uniformly computable versions of the Implicit Function Theorem in its differentiable and non‐differentiable forms. We show that the resulting operators are not computable if information about some of the partial derivatives of the implicitly defining function is omitted. Finall