Some new geometric constants in Banach spaces

Abstract

In this article, inspired by the geometric constant T(X), we introduce two geometric constants T_G(X) and T_⊥(X). Firstly, we give some basic properties of these two geometric constants. Then the relationship between these constants and other geometric constants can also be obtained. Moreover, we discuss the relation of constant T_G(X) to the geometric properties of the Banach space.