2-local Lie isomorphisms of operator algebras on Banach spaces
Lin ChenAnshun UniversityLizhong HuangDepartment of Mathematics Shanxi Datong University Datong 037009, P.R. ChinaFangyan LuDepartment of Mathematics Soochow University Suzhou 215006, P.R. China
2015en
ABI
Abstract
Let $X$ and $Y$ be complex Banach spaces of dimension greater than 2. We show that every 2-local Lie isomorphism $\phi $ of $B(X)$ onto $B(Y)$ has the form $\phi =\varphi +\tau $, where $\varphi $ is an isomorphism or the negative of an anti-isomorphism o
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