矢量值序列空间l_p(X)中性质的稳定性  

The Stability of Properties in Vector-valued Sequence Spaces l_p(X)

作　　者：于非非[1] 

机构地区：[1]天津科技大学理学院,天津300457

出　　处：《天津科技大学学报》2007年第4期79-81,共3页Journal of Tianjin University of Science & Technology

摘　　要：随着向量测度理论的迅速发展,由于核空间及Schauder分解理论研究的需要,引进了矢量值序列空间.论证了点态性质端点及LUR点从Banach空间X到矢量值序列空间lp(X)的稳定性,得到了lp(X)(1<p<+∞)关于严格凸及LUR性质稳定的结论.The vector-valued sequence spaces were introduced with the rapid development of the vector measure theory, and for the need of the nuclear spaces and Schauder resolution theory. It was discussed that the point-wise properties-extreme points and LUR points belong to Banach space X and vector-valued sequence spaces lp（X）,the conclusions were obtained that the strictly convex and LUR properties are stable in lp （X） whenever 1 〈 p 〈 ＋∞.

关 键 词：矢量值序列空间lp(X) 稳定 端点 LUR点 

分 类 号：O177[理学—数学]