几乎满的ε-等距算子的等距逼近问题(英文)  

The Isometric Approximation Problem of Almost Surjectiveε-Isometric Operator

作　　者：张毅[1] 王建[2] 

机构地区：[1]福建师范大学图书馆,福州350007 [2]福建师范大学数学与计算机科学学院,福州350007

出　　处：《数学研究》2008年第4期361-370,共10页Journal of Mathematical Study

基　　金：supported by the National Science Foundation of Fujian Province(Z0511023);the Foundation of Fujian Educational Committee(JA04172)

摘　　要：我们从减弱文Vestfrid[1]中定理3中空间一致凸条件和加强ε-等距算子条件着手去研究Banach空间中几乎满的ε-等距算子的等距逼近问题.另外,我们结合完备的β-范(0<β<1)空间的性质得到一些相关结论.In this paper, we investigate the isometric approximation problem of almost surjective E-isometric operator between Banach spaces, weakening uniformly convex condition of the space in Vestfrid[1, Theorem 3] and strengthening the condition of the E-isometric operator. In addition, we discuss the problem on complete β-normed spaces （0 〈β 〈 1）.

关 键 词：ε-等距 几乎满 

分 类 号：O177.2[理学—数学]