Banach空间的若干几何常数(英文)  

Some geometric coefficient in Banach space ca

作　　者：崔云安[1] 吴春雪[1] 

机构地区：[1]哈尔滨理工大学应用科学学院,黑龙江哈尔滨150080

出　　处：《黑龙江大学自然科学学报》2002年第3期1-4,共4页Journal of Natural Science of Heilongjiang University

基　　金：Supported by National Natural Science Foundation of China (10171025)

摘　　要：计算了Banach空间的若干几何常数,得到了Garcia-Falset常数R（c0,α）=2-1/（1+α）.作为推论,得到空间C0,α有弱不动点性质,同时也计算了常数C（cα）=1,并且得到空间 Cα有一致弱 Banach-Saks性质.The authors calculate some geometric coefficients in Banach spaces ca, and obtain that Garcia - Falset coefficent R(Co, a) = 2- 1/(1+α). As a corollary, they get that the space C0,α has the weakfixed point property. Meanwhile they calculate the coefficent C(cα,)=l, and the space cα has uniformly weak Banach-Saks property.

关 键 词：BANACH空间 几何常数 弱不动点性质 一致弱Banach-Saks性质 Garcia-Falset常数 

分 类 号：O177.2[理学—数学]