  The $\lambda$-property and the uniform $\lambda$-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 $\lambda$-property and asked if it has the uniform
$\lambda$-property. In this paper, we show that Schreier space does not have
the uniform $\lambda$-property. Furthermore, we show that the dual of the
Schreier space does not have the uniform $\lambda$-property.
