首页 | 本学科首页   官方微博 | 高级检索  
     

SMALL INTO ISOMORPHISM FROM (C0) INTO C(Ω) TYPE
引用本文:定光桂. SMALL INTO ISOMORPHISM FROM (C0) INTO C(Ω) TYPE[J]. 数学物理学报(B辑英文版), 2008, 28(2): 307-314. DOI: 10.1016/S0252-9602(08)60032-6
作者姓名:定光桂
作者单位:School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, China
基金项目:Supported by National Natural Science Foundation of China (10571090) and the Research Fund for the Doctoral Program of Higher Education (20060055010)
摘    要:If T is an isomorphism of (c0) into C(Ω) (where Ω is a sequentially compact and paracompact space, or a compact metric space in particular), which satisfies the condition ||T||·||T^-1|| ≤ 1 +ε for some ε ∈ (0,1/5), then T/||T|| is close to an isometry with an error less than 9ε. The proof of this article is simple without using the dual space or adjoint operator.

关 键 词:同型性  等距映射  C(Ω)型  数学问题
收稿时间:2005-12-28

Small into Isomorphism from (c0) into C(Ω) Type
Ding Guanggui. Small into Isomorphism from (c0) into C(Ω) Type[J]. Acta Mathematica Scientia, 2008, 28(2): 307-314. DOI: 10.1016/S0252-9602(08)60032-6
Authors:Ding Guanggui
Affiliation:School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, China
Abstract:Small into isomorphism, isometry, almost isometry
Keywords:Small into isomorphism   isometry   almost isometry
本文献已被 维普 ScienceDirect 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号