BOUNDEDNESS AND UNIFORM CONVERGENCE IN B-DUALS
Suppose E is a vector valued sequence space with operator valued ß-dual EßY . If the space E satisfies certain gliding hump conditions, we consider the connection between pointwise bounded subsets A of EßY and the uniform convergence of the elements of A. For linear operators our results contain results of Li, Wang and Zhong for the spaces c0(X) and lp(X).
Saved in:
| Main Author: | |
|---|---|
| Format: | Digital revista |
| Language: | English |
| Published: |
Universidad Católica del Norte, Departamento de Matemáticas
2010
|
| Online Access: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172010000100008 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | Suppose E is a vector valued sequence space with operator valued ß-dual EßY . If the space E satisfies certain gliding hump conditions, we consider the connection between pointwise bounded subsets A of EßY and the uniform convergence of the elements of A. For linear operators our results contain results of Li, Wang and Zhong for the spaces c0(X) and lp(X). |
|---|