Ring isomorphisms and linear or additive maps preserving zero products on nest algebras
In this paper, the autors show that every ring isomorphism between norm closed standard subalgebras of nest algebras acting on infinite-dimensional Banach spaces is either a spatial isomorphism or a spatial conjugate isomorphism. This is then used to characterize the linear or additive maps between nest algebras which preserve zero products.
scientific article; zbMATH DE number 2081252