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
Strong Continuity of Gradient Mappings
✍ Scribed by Ho Duc Viet
- Publisher
- John Wiley and Sons
- Year
- 1977
- Tongue
- English
- Weight
- 472 KB
- Volume
- 79
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
By means of the Minkowski function we define a new concept of local Holder Ž . equicontinuity respectively local Holder continuity for families consisting of Ž . set-valued mappings respectively for set-valued mappings between topological linear spaces. The connection between this new concept and t
## Abstract Let __E__ be a real reflexive Banach space having a weakly continuous duality mapping __J__~__φ__~ with a gauge function __φ__, and let __K__ be a nonempty closed convex subset of __E__. Suppose that __T__ is a non‐expansive mapping from __K__ into itself such that __F__ (__T__) ≠ ∅︁.