Local automorphisms of nest subalgebras of factor von Neumann algebras

In this paper, it is proved that every surjective weakly continuous linear local automorphism of nest subalgebras with non-trivial nests of factor von Neumann algebras is an automorphism; and that every surjective linear 2-local automorphism of nest algebras with non-trivial nests of factor von Neumann algebras is an automorphism.