期刊论文详细信息
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 卷:363
A note on extension of isometric embedding from a Banach space E into the universal space l∞(Γ)
Article
Liu, Rui1,2,3 
[1] Nankai Univ, Dept Math, Tianjin 300071, Peoples R China
[2] Nankai Univ, LPMC, Tianjin 300071, Peoples R China
[3] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA
关键词: Isometric embedding;    Unit sphere;    Universal space;   
DOI  :  10.1016/j.jmaa.2009.08.033
来源: Elsevier
PDF
【 摘 要 】

In this paper we shall present a short proof on the extension problem of isometric embedding between unit spheres of a Banach space E and the universal space l(infinity)(Gamma). We prove that, under some condition, every isometric embedding from S(E) into S(l(infinity)(Gamma)) can be positive-homogeneously isometrically extended to the whole space. Since every Banach space E is isometric to a subspace of l(infinity)(S(E*)), isometric extension problems on a class of atomic AM-spaces is solved. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free   

【 预 览 】
附件列表
Files Size Format View
10_1016_j_jmaa_2009_08_033.pdf 145KB PDF download
  文献评价指标  
  下载次数:0次 浏览次数:0次