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Proyecciones (Antofagasta)

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Abstract

SWARTZ, Charles. BOUNDEDNESS AND UNIFORM CONVERGENCE IN B-DUALS. Proyecciones (Antofagasta) [online]. 2010, vol.29, n.1, pp.75-82. ISSN 0716-0917.  http://dx.doi.org/10.4067/S0716-09172010000100008.

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).

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