On universal left-stability of $\epsilon$-isometries

Lingxin Bao, Lixin Cheng, Qingjin Cheng +1

Let $X$, $Y$ be two real Banach spaces, and $\eps\geq0$. A map $f:X\to Y$ is said to be a standard $\eps$-isometry if $|\|f(x)-f(y)\|-\|x-y\||\leq\eps$ for all $x,y\in X$ a…