Type and Cotype in Vector-Valued Nakano Sequence Spaces
✍ Scribed by Oscar Blasco; Pablo Gregori
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 128 KB
- Volume
- 264
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
✦ Synopsis
Ä 4
Ä 4 Given a sequence of Banach spaces X and a sequence of real numbers
in 1, ϱ , the vector-valued Nakano sequence spaces l l p , X consist of ele-
In this paper we find the conditions on the Banach spaces X and on the n Ä 4 ŽÄ 4 Ä 4. sequence p for the spaces l l p , X to have cotype q or type p. ᮊ 2001
📜 SIMILAR VOLUMES
In the paper, we shall prove that almost everywhere convergent bounded sequence in a Banach function space X is weakly convergent if and only if X and its dual space X\* have the order continuous norms. It follows that almost everywhere convergent bounded sequence in ¸N #¸N (1(p , p (R) is weakly co