On some geometric parameters in Banach spaces |
| |
Authors: | Ji Gao |
| |
Institution: | Department of Mathematics, Community College of Philadelphia, Philadelphia, PA 19130-3991, USA |
| |
Abstract: | Let X be a normed linear space and be the unit sphere of X. Let , , and J(X)=sup{‖x+y‖∧‖x−y‖}, x and y∈S(X) be the modulus of convexity, the modulus of smoothness, and the modulus of squareness of X, respectively. Let . In this paper we proved some sufficient conditions on δ(?), ρX(?), J(X), E(X), and , where the supremum is taken over all the weakly null sequence xn in X and all the elements x of X for the uniform normal structure. |
| |
Keywords: | Modulus of convexity Modulus of smoothness Normal structure Uniform normal structure Ultraproduct space |
本文献已被 ScienceDirect 等数据库收录! |
|