b(2)空间及b(2)空间上的等距映射

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b⁽²⁾空间及b⁽²⁾空间上的等距映射

本站小编 Free考研考试/2021-12-27

b⁽²⁾空间及b⁽²⁾空间上的等距映射王瑞东, 王普天津理工大学理学院天津 300384 b⁽²⁾ Space and Isometries on b⁽²⁾ Spaces Rui Dong WANG, Pu WANGCollege of Sciences, Tianjin University of Technology, Tianjin 300384, P. R. China

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摘要等距映射在空间结构的研究中起着很重要的作用，是泛函分析研究的有利工具. 本文将介绍一类特殊的F空间，b^（2）空间，然后给出该空间单位球面间满等距映射的表现定理，进而得出b^（2）空间单位球面上满等距映射的线性延拓结论.

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收稿日期: 2018-04-15

MR (2010):

O177

基金资助:国家自然科学基金资助项目（NSFC11301384）

通讯作者:王普,E-mail:153106304@stud.tjut.edu.cnE-mail: 153106304@stud.tjut.edu.cn

作者简介: 王瑞东,E-mail:wangruidong@tjut.edu.cn

引用本文:

王瑞东, 王普. b⁽²⁾空间及b⁽²⁾空间上的等距映射[J]. 数学学报, 2019, 62(2): 303-318. Rui Dong WANG, Pu WANG. b⁽²⁾ Space and Isometries on b⁽²⁾ Spaces. Acta Mathematica Sinica, Chinese Series, 2019, 62(2): 303-318.

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http://www.actamath.com/Jwk_sxxb_cn/CN/或 http://www.actamath.com/Jwk_sxxb_cn/CN/Y2019/V62/I2/303

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b⁽²⁾空间及b⁽²⁾空间上的等距映射

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