Order isomorphisms of operator intervals in von Neumann algebras
arXiv:1811.01647 · doi:10.1007/s00020-019-2510-x
Abstract
We give a complete description of order isomorphisms between operator intervals in general von Neumann algebras. For the description, we use Jordan -isomorphisms and locally measurable operators. Our results generalize several works by L. Molnár and P. Šemrl on type I factors.
24 pages