广义的约当-冯诺依曼型常数和正规结构

The Generalized Jordan-von Neumann Type Constant and Normal Structure

本文引入了一个广义的约当-冯诺依曼型常数,并研究了它的相关性质,同时还利用广义的约当-冯诺依曼型常数,弱正交系数μ(X)和Domínguez-Benavides系数R(1,X),对Banach空间中的弱收敛序列系数WCS(X)进行了估计,从而得到了空间具有正规结构的一些充分条件.这些结论严格推广了最近一些文献中的结果.

The generalized Jordan-von Neumann type constant is introduced,some basic properties of this new constant are investigated.Moreover,The weakly convergent sequence coefficient WCS(X)is estimated by the generalized Jordan-von and Neumann type constant,the weak orthogonality coefficientμ(X)and DominguezBenavides coefficient R(1,X),which enables us to obtain some sufficient conditions for normal structure.The results obtained in this paper significantly improve some known results in the literatures.