GEOMETRIC CONSTANTS FOR BANACH SPACES WITH ABSOLUTE NORMALIZED NORMS WHICH CORRESPONDING FUNCTIONS ARE COMPARABLE

摘要

In this paper we consider some geometric constants of C~2 equipped with an absolute normalized norm such as: the James constant J(||. ||_ψ), the von Neumann-Jordan constant C_(NJ) (||. ||_ψ), the Gao constants E(||. ||_ψ) and f(||. || E(||. ||_ψ)), the Zb?ganu constant C_z(||. ||_ψ) and constant A_2(||. ||_ψ). In particular we investigate relations involving these constants of the norms ||.||_ψ, and ||.||_ψ. where the convex functions ψ and ψ_* are comparable. Also, we determine these constants when norm is a mean of two norms. Finally, these constants are calculated for some spaces such as the X~p space, the Cesàro sequence space etc.