M-constants in Orlicz Spaces Equipped with the Luxemburg Norm

Abstract

Riesz angle μ2(x)is an important geometric constant in Banach lattice spaces, which is closely related to the fixed point properties of spaces. In this paper, the M-constants of Orlicz function spaces and Orlicz sequence spaces equipped with Luxemburg norm are obtained. On this basis, a criteria for EΦ has weak fixed point property was also given.

Keywords

• m-constants
• orlicz spaces
• luxemburg norm
• riesz angles