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PDF(410 KB)
PDF(410 KB)
正规结构和带参数的约当-冯诺依曼型常数
The Normal Structure and Parametrized Jordan-von Neumann type Constant
首先引入了带参数的约当-冯诺依曼型常数，然后研究了它的一些相关性质，并给出了它的取值范围，同时还利用带参数的约当-冯诺依曼型常数，弱正交系数μ（X）和Domínguez Benavides系数R（1，X）之间的关系，给出了空间具有正规结构的一些充分条件，这些结论改进了一些文献中的结果.
In this paper, a parametered Jordan-von Neumann type constant is introduced and estimated. We also give some sufficient conditions of which a Banach space has the normal structure by discussing the relationship among the parametrized Jordan-von Neumann constant, the weak orthogonality coefficient and the Domínguez Benavides coefficient, respectively. These results further improve some results in the previous literatures.
正规结构 / 弱收敛序列系数 / 弱正交系数 / Domí / nguezBenavides系数 {{custom_keyword}} /
normal structure / weakly convergent sequence coefficient / coefficient of weak orthogonality / Domínguez Benavides coefficient {{custom_keyword}} /
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重庆市自然科学基金基础研究与前沿探索专项面上项目（cstc2019jcyj-msxmX0289）；重庆市科委基础研究与前沿探索（cstc2018jcyjAX0773）；重庆三峡学院人才引进项目
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