A property of locally convex Baire spaces
β Scribed by Aaron R. Todd; Stephen A. Saxon
- Publisher
- Springer
- Year
- 1973
- Tongue
- English
- Weight
- 742 KB
- Volume
- 206
- Category
- Article
- ISSN
- 0025-5831
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Reflexive BANACH spaces and separable duals of BANAOE s p ~c e s possess the RADON-NIXODYM Property. The purpose of this paper is to extend these results to locally convex spaces. As the examples will show, these RNP-spaces include most spaces which occur frequently in Functional Analysis.
We give a topological version of a classical result of F. Sunyer Balaguer's on a local characterization of real polynomials. This is done by studying a certain property on a class of connected Baire spaces, thus allowing us to obtain a local characterization of repeated integrals of analytic maps on