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）.
出处
《数学研究》
CSCD
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)
关键词
ε-等距
几乎满
ε--isometry
almost surjective
