几乎满的ε-等距算子的等距逼近问题

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￡-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 ε-isometric operator between Banach spaces, weakening uniformly convex condition of the space in Vestfrid[1, Theorem 3] and strengthening the condition of the ε-isometric operator. In addition, we discuss the problem on complete β-normed spaces (0 < β < 1).