• Korean Journal of Mathematics
• /
• v.6 no.2
• /
• pp.341-348
• /
• 1998

In this paper, we show that Schlumprecht space is reflexive and the Dual of Schlumprecht space has the Banach-Saks property and study behavior of block basic sequence in Schlumprecht space.

• Journal of the Korean Mathematical Society
• /
• v.42 no.5
• /
• pp.1017-1030
• /
• 2005

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.