Lie ring isomorphisms between nest algebras on Banach spaces

Xiaofei Qi, Jinchuan Hou, Juan Deng

Let $\mathcal{N}$ and $\mathcal{M}$ be nests on Banach spaces $X$ and $Y$ over the (real or complex) field $\mathbb{F}$ and let $\mbox{\rm Alg}{\mathcal N}$ and $\mbox{\rm Alg}{\m…