Convexity and concavity of Banach ideal spaces and imbedding theorems
β Scribed by M. Z. Berkolaiko
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1991
- Tongue
- English
- Weight
- 596 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0037-4466
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We show how the geometrical properties of uniform convexity and uniformly non-e: are inherited by real interpolation spaces for infinite families. ## Preliminaries Let D denote the unit disc {z E (c: IzI < I} and r its boundary. Let -A = { A d y ) : y E r , d , % } 17\*
Let N(X) be the set of all equivalent norms on a separable Banach space X, equipped with the topology of uniform convergence on bounded subsets of X. We show that if X is infinite dimensional, the set of all locally uniformly rotund norms on X reduces every coanalytic set and, thus, is in particular