Some necessary and some sufficient conditions for the space of all bounded linear operators between two BANACH spaces to have the RADON-NIKODPM property are given. In recent years the study of BANACH spaces for which the RADON-NIKODPM theorem is valid has been enthusiastically joined by a number of
The Radon-Nikodým Property in Ordered Banach Spaces
✍ Scribed by I.A. Polyrakis
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 411 KB
- Volume
- 192
- Category
- Article
- ISSN
- 0022-247X
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📜 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.
There is a Banach space X enjoying the Radon-Nikody m Property and a separable subspace Y which is not contained in any complemented separable subspace of X.
In this paper, we show that the weak nearly uniform smooth Banach spaces have the fixed point property for nonexpansive mappings.