Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4615379 | Journal of Mathematical Analysis and Applications | 2015 | 12 Pages |
Abstract
Let Pw(En;F) be the space of all continuous n-homogeneous polynomials from a Banach space E into another F , that are weakly continuous on bounded sets. We give sufficient conditions for the weak sequential completeness of Pw(En;F). These sufficient conditions are also necessary if both E⁎E⁎ and F have the bounded compact approximation property. We also show that the weak sequential completeness and the reflexivity of Pw(En;F) are equivalent whenever both E and F are reflexive.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Qingying Bu, Donghai Ji, Ngai-Ching Wong,