(δ,)-等距的稳定性

Stability of (δ,)-Isometries

本文讨论了Banach空间之间非满射、非线性的弱等距逼近问题.在某些条件假设下,对(δ,(?))-等距算子的稳定性给出了一些肯定的结果,从而修正并推广了文[1—4]中的一些结果.

We investigate the stability of nonlinear and non-surjective isometries between Banach spaces. Under some assumptions, we give some positive answers to such isometries. Thus we correct some results of [1-4], and in addition, we have as well generalized them.