复Banach空间?^p(Γ)(1 ≤ p < ∞)的Mazur-Ulam性质 王瑞东, 周文乔天津理工大学理学院 天津 300384 The Mazur–Ulam Property for Complex Banach Space ?^p(Γ) (1 ≤ p < ∞) Rui Dong WANG, Wen Qiao ZHOUScience of College, Tianjin University of Technology, Tianjin 300384, P. R. China

摘要 图/表 参考文献 相关文章 全文: PDF(501 KB) HTML (1 KB) 输出: BibTeX | EndNote (RIS) 摘要1978年，Tingley提出著名的Tingley问题（等距延拓问题），受到许多****的重视.遗憾的是到目前为止，即使对于二维Banach空间，这个问题仍是一个开问题.目前的研究主要集中在同类型或不同类型的经典Banach空间之间，并得到了肯定的回答.本文对复Banach空间?p（Γ）（1 ≤ p < ∞）与复Banach空间E之间的Tingley问题给出了肯定的回答，即复Banach空间?p（Γ）（1 ≤ p < ∞）满足Mazur-Ulam性质. 服务 加入引用管理器 E-mail Alert RSS 收稿日期: 2020-03-20 MR (2010): O177.2 基金资助:国家自然科学基金资助项目（11301384，11371201，11201337，11201338） 作者简介: 王瑞东,E-mail:wangruidong@tjut.edu.cn;周文乔,E-mail:763868160@qq.com 引用本文: 王瑞东, 周文乔. 复Banach空间?p(Γ)(1 ≤ p < ∞)的Mazur-Ulam性质[J]. 数学学报, 2021, 64(4): 529-544. Rui Dong WANG, Wen Qiao ZHOU. The Mazur–Ulam Property for Complex Banach Space ?p(Γ) (1 ≤ p < ∞). Acta Mathematica Sinica, Chinese Series, 2021, 64(4): 529-544. 链接本文: http://www.actamath.com/Jwk_sxxb_cn/CN/或 http://www.actamath.com/Jwk_sxxb_cn/CN/Y2021/V64/I4/529 [1] Alonso J., Benítez C., Some characteristic and non-characteristic properties of inner product spaces, J. Approx. Theory, 1988, 55:318-325. 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