An inequality between the James and James type constants in Banach spaces

• Autorzy: Fenghui Wang , Changsen Yang
• Języki publikacji: EN

Abstrakty

EN

We consider the James and Schäffer type constants recently introduced by Takahashi. We prove an equality between James (resp. Schäffer) type constants and the modulus of convexity (resp. smoothness). By using these equalities, we obtain some estimates for the new constants in terms of the James constant. As a result, we improve an inequality between the Zbăganu and James constants.

Kategorie tematyczne

• 46B20: Geometry and structure of normed linear spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2010
• Tom: 201
• Numer: 2
• Strony: 191-201

Daty

wydano

2010

Twórcy

autor

Fenghui Wang

• Department of Mathematics, Luoyang Normal University, Luoyang 471022, China

autor

Changsen Yang

• Department of Mathematics, Henan Normal University, Xinxiang 453007, China

Identyfikatory

DOI

10.4064/sm201-2-5