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
.
Acknowledgments
The authors are highly grateful to the referees for their careful reading and valuable suggestions on this paper.