Abstract
The Îť \lambda -property and the uniform Îť \lambda -property were first introduced by R. Aron and R. Lohman in 1987 as geometric properties of Banach spaces. In 1989, Th. Shura and D. Trautman showed that the Schreier space possesses the Îť \lambda -property and asked if it has the uniform Îť \lambda -property. In this paper, we show that Schreier space does not have the uniform Îť \lambda -property. Furthermore, we show that the dual of the Schreier space does not have the uniform Îť \lambda -property.
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