Complex strict convexity of certain Banach spaces
โ Scribed by J. E. Jamison; Irene Loomis; C. C. Rousseau
- Publisher
- Springer Vienna
- Year
- 1985
- Tongue
- English
- Weight
- 580 KB
- Volume
- 99
- Category
- Article
- ISSN
- 0026-9255
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๐ SIMILAR VOLUMES
and 0 < e < 2 is the modulus of convexity of X. The best results so far about the relationship between normal structure and the modulus of convexity of X are that for any Banach space X either 6(1) > 0 or 6(3/2) > 1/4 implies X has normal structure. We generalize the above results in this paper to p
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\*