摘要
度量与线性性质是赋范空间的重要性质,因此,研究线性算子与等距算子的关系成为了泛函分析领域重要的研究课题.本文首先研究一类特殊的赋准范空间,即bp(2)空间的重要性质.然后给出bp(2)空间单位球面间满等距映射的表示定理及延拓性质.
Metric and linear properties are significant properties of normed spaces,so the study of the relationship between linear operators and isometric operators has become an important research topic in the field of functional analysis.In this paper,we will study a special F-space,bp(2) space,and give the representation theorem for the onto isometric mapping on the unit sphere of the bp(2) space,then give a result about the isometric linear extension from unit sphere in the Hp(2).
作者
王瑞东
王普
Rui Dong WANG;Pu WANG(Department of Mathematics,Tianjin University of Technology,Tianjin 300384,P.R.China)
出处
《数学学报（中文版）》
CSCD
北大核心
2021年第1期155-166,共12页
Acta Mathematica Sinica：Chinese Series
基金
国家自然科学基金资助项目(11301384)。
