【摘要】 <正> 定义 设E₁,E₂为Banach空间,U∈B（E₁,E₂）称为等距算子是指,对x∈E₁有||Ux||=||x||;T属于B（E₁,E₂）称为ε-等距算子,是指存在0<ε<1,有（1-ε）||x||≤||Tx||≤（1+ε）||x||,x∈E₁. 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ε₁>0,均存在更多还原

【Abstract】 In this paper we show that, for every ε-almost isometric operator m) I where 0<ε<1/3),and arbitrary ε1 in (0,1/2(1/3-ε)), there exist an isometricoperator U(?)∈B(m,m) such that ||U(?) -T||≤3ε + 2ε1. Hence we give the problem which was risen in [1] an affirmative answer for spaces E = E1 =(m).更多还原