某些空间的等距算子

In this paper , We give some representation theorems of isometrics of (L^p₁∩L^p₂(012<+∞), and aslo, obtain some representations of some isometries of L^p(μ,E)(0相似文献   

(m)→(m)的等距算子与ε-等距算子的关系

定义 设E_1,E_2为Banach空间,U∈B(E_1,E_2)称为等距算子是指,对x∈E_1有||Ux||=||x||;T属于B(E_1,E_2)称为ε-等距算子,是指存在0<ε<1,有(1-ε)||x||≤||Tx||≤(1 ε)||x||,x∈E_1. 本文证明了对于(m)→(m)的ε-等距算子T,其中0<ε<1/3,及任意的ε_1>0,均存在     

ON FULLY CONVEX AND LOCALLY FULLY CONVEX BANACH SPACE*

In this paper, we introduce the concept of locally fully convexity. We study the properties of fully convex and locally fully convex Banach spaces and the relations between them. We also give some applications of the fully convex and locally fully convex Banach spaces.