On Some Geometric Constants in Banach Spaces

Abstract In this paper, we first introduce a family of geometric constants of a real normed space X and give some results concerning these constants. Then, we give some characterizations of Hilbert spaces and uniformly non-square spaces and obtain sufficient conditions for normal structure related t...
Ausführliche Beschreibung

Abstract In this paper, we first introduce a family of geometric constants of a real normed space X and give some results concerning these constants. Then, we give some characterizations of Hilbert spaces and uniformly non-square spaces and obtain sufficient conditions for normal structure related to these constants. Ausführliche Beschreibung