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math.FA2013★ 1 cited
Characterizing derivations for any nest algebras on Banach spaces by their behaviors at an injective operator
Yanfang Zhang, Jinchuan Hou, Xiaofei Qi
Let be a nest on a complex Banach space and let $\mbox{ Alg}{\mathcal N}$ be the associated nest algebra. We say that an operator $Z\in \mbox{ Alg}{\mathcal N}$…
math.FA2013
Lie ring isomorphisms between nest algebras on Banach spaces
Xiaofei Qi, Jinchuan Hou, Juan Deng
Let and be nests on Banach spaces and over the (real or complex) field and let $\mbox{\rm Alg}{\mathcal N}$ and $\mbox{\rm Alg}{\m…