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http://dx.doi.org/10.4134/JKMS.2005.42.5.1017

AVERAGING PROPERTIES AND SPREADING MODELS  

CHO, KYUGEUN (Center for Liberal Arts and Instruction Development Myong Ji University)
LEE, CHONGSUNG (Department of Mathematics education, Inha University)
Publication Information
Journal of the Korean Mathematical Society / v.42, no.5, 2005 , pp. 1017-1030 More about this Journal
Abstract
In this paper, we study averaging properties in Banach spaces using the Brunel-Sucheston's spreading model. We show that the Schlumprecht space S does not have the Banach­Saks property and II is finitely representable in the Schlumprecht space S using the spreading model properties.
Keywords
Banach-Saks property; weak Banach-Saks property; spreading model; Schlumprecht space;
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  • Reference
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