✦ LIBER ✦
Weak–Strong Continuity of Multilinear Mappings and the Pełczynski–Pitt Theorem
✍ Scribed by Raymundo Alencar; Klaus Floret
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 191 KB
- Volume
- 206
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
✦ Synopsis
In generalizing a result of Pełczynski the sequential weak to norm continuity of `Ž N-linear mappings between certain Banach spaces including spaces of type and . cotype will be studied. In particular, it is shown that every N-linear continuous n Ž .
mapping from l l = иии = l l into l l is compact if and only if Ý 1rp -1rq.