A Note of Paper ＂Banach Spaces Failing the Almost Isometric Universal Extension Property＂  

作　　者：ZHAN Hua Ying 

机构地区：[1]College of Science, Tianjin University of Technology, Tianjin 300384, China [2]School of Mathematics, Nankai University, Tianjin 300017, China

出　　处：《Journal of Mathematical Research and Exposition》2008年第3期613-616,共4页数学研究与评论（英文版）

基　　金：the National Natural Science Foundation of China （No. 10571090）; the Research Foundation for the Doctoral Program of Higher Education （No. 20060055010）; the Research Foundation of Tianjin Municipal Education Commission （No. 20060402）.Acknowledgement The author would like to thank Professor Ding Guanggui for his guidance, and thank the referees for their valuable comments and suggestions.

摘　　要：The definition of property A with constant α was introduced by D. M. Speegle, who proved that every infinite dimensional separable uniformly smooth Banach space has property A with constant α∈ [0, 1）. In this paper, we give a sufficient condition for a Banach space to have property A with constant α∈[0, 1）, and some remarks on Speegle＇s paper .The definition of property A with constant α was introduced by D. M. Speegle, who proved that every infinite dimensional separable uniformly smooth Banach space has property A with constant α∈ [0, 1）. In this paper, we give a sufficient condition for a Banach space to have property A with constant α∈[0, 1）, and some remarks on Speegle＇s paper .

关 键 词：property A with constant α modulus of convexity λ-EP λ-UEP. 

分 类 号：O177.2[理学—数学]