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Schatten-p类算子空间上保距或完全保距映射
  • 期刊名称：山西大学学报(自然科学版)
  • 时间：0
  • 页码：502-506
  • 语言：中文
  • 分类：O177.1[理学—数学;理学—基础数学]
  • 作者机构：[1]山西大学数学科学学院,山西太原030006, [2]太原理工大学数学系,山西太原030024
  • 相关基金：国家自然科学基金（10771157）
  • 相关项目：算子空间上映射的不变量及延拓问题研究
作者： 侯晋川|贺衎|
关键词： Schatten-p类算子, 保距映射, 完全保距映射, Schatten-p classes, distance preserving maps, completely distance preserving maps
中文摘要：

设H为复Hilbert空间,dimH≥3,Cp（H）与Csp（H）分别表示H上的Schattern-p类算子空间及自伴Schattern-p类算子空间.令1≤p≤＋∞且p≠2,给出了Cp（H）或Csp（H）上保距满射的刻画.应用上述结果,得到Cp（H）上完全保距满射的分类.对C2（H）上的保距映射的性质也进行了讨论.

英文摘要：

Let H be a complex Hibert space,dim H≥3,Cp（H） the space of Schatten-p class opeators on H and Csp（H） the space of self-adjoint Schatten-p class operators on H.When 1≤p≤＋∞ and p≠2,we give a characterization of distance preserving surjective maps for Schatten-p norms on Cp（H） or Csp（H）.As a application,we obtain a characteriaztion of maps preserves distance completely for schatten-p norms on Cp（H）.Also the property of distance preserving surjective maps for Hilbert-Schmidt norms is discussed.

同期刊论文项目
算子空间上映射的不变量及延拓问题研究
期刊论文 54 会议论文 8
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