A geometrical constant and normal normal structure in Banach Spaces

作者：Zuo, Zhanfei^*

来源：JOURNAL OF INEQUALITIES AND APPLICATIONS, 2011, 2011(1): 16.

DOI：10.1186/1029-242X-2011-16

• Geometrical constant
• Absolute normalized norm
• Lorentz sequence space
• Uniform normal structure

Recently, we introduced a new coefficient as a generalization of the modulus of smoothness and Pythagorean modulus such as J(X), (p)(t). In this paper, We can compute the constant J(X), (p)(1) under the absolute normalized norms on R(2) by means of their corresponding continuous convex functions on [0, 1]. Moreover, some sufficient conditions which imply uniform normal structure are presented.

• 出版日期2011
• 单位重庆三峡学院