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http://dx.doi.org/10.4134/BKMS.2002.39.4.665

AVERAGING PROPERTY IN BANACH SPACES  

Cho, Kyug-Eeun (Center for Liberal Arts & Instructional Development, Myong Ji University)
Publication Information
Bulletin of the Korean Mathematical Society / v.39, no.4, 2002 , pp. 665-669 More about this Journal
Abstract
In this paper, we study averaging properties in Banach space. We prove that the convex block Banach-Saks property is equivalent to the reflexivity in a Banach space. And we show that a weakly compact operator is a convex block Banach-Saks operator.
Keywords
Banach-Saks property; convex block Banach-Saks property; reflexivity; uniformly convex;
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