2-Local Lie triple isomorphisms of nest algebras

Abstract

Let be a nontrivial nest on a complex separable Hilbert space with dim , and Alg be the associated nest algebra. Suppose that is an additive surjective 2-local Lie triple isomorphism. If is not of infinite multiplicity, we prove that δ is of the form for any , where is an isomorphism or the negative of an anti-isomorphism and is a linear map with for all .