Banach空间上有关紧凸集的Hausdorff度量拓扑的若干性质  

Properties of the Hausdorff Metric Topology on Compact Convex Sets under Banach Spaces

作　　者：杨鎏[1] YANG Liu(Department of Mathematics,Shaanxi Xueqian Normal University,Xi＇an 710100,China)

机构地区：[1]陕西学前师范学院数学系,西安710100

出　　处：《西安工业大学学报》2018年第4期309-312,共4页Journal of Xi’an Technological University

基　　金：国家自然科学基金(11471202)

摘　　要：为了研究底空间为Banach空间,由Hausdorff度量所生成的各种不同形式的超空间拓扑.文中给出并证明了紧凸集全体赋予Hausdorff度量拓扑构成的超空间上的一些常用的不等式性质,并考虑了与对偶空间有关的性质.In order to study the various forms of hyperspace topology generated by Hausdorff metrics. The paper preents and proves some inequality properties of the hyperspace of family of compact convex sets under Banach spaces which are endowed with the Hausdorff metric topology. Some properties related to dual space are given.

关 键 词：HAUSDORFF度量 紧凸集 超空间 BANACH空间 

分 类 号：O189.1[理学—数学]