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 res...
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Universidad Católica del Norte, Departamento de Matemáticas
2010
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oai:scielo:S0716-091720100001000082010-05-19BOUNDEDNESS AND UNIFORM CONVERGENCE IN B-DUALSSwartz,CharlesSuppose 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).info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.29 n.1 20102010-05-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172010000100008en10.4067/S0716-09172010000100008 |
| institution |
Scielo Chile |
| collection |
Scielo Chile |
| language |
English |
| description |
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). |
| author |
Swartz,Charles |
| spellingShingle |
Swartz,Charles BOUNDEDNESS AND UNIFORM CONVERGENCE IN B-DUALS |
| author_facet |
Swartz,Charles |
| author_sort |
Swartz,Charles |
| title |
BOUNDEDNESS AND UNIFORM CONVERGENCE IN B-DUALS |
| title_short |
BOUNDEDNESS AND UNIFORM CONVERGENCE IN B-DUALS |
| title_full |
BOUNDEDNESS AND UNIFORM CONVERGENCE IN B-DUALS |
| title_fullStr |
BOUNDEDNESS AND UNIFORM CONVERGENCE IN B-DUALS |
| title_full_unstemmed |
BOUNDEDNESS AND UNIFORM CONVERGENCE IN B-DUALS |
| title_sort |
boundedness and uniform convergence in b-duals |
| publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
| publishDate |
2010 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172010000100008 |
| work_keys_str_mv |
AT swartzcharles boundednessanduniformconvergenceinbduals |
| _version_ |
1718439768076845056 |