Order isomorphisms of operator intervals in von Neumann algebras
Operator Algebras
2019-03-12 v2
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. Moln\'ar and P. \v{S}emrl on type I factors.
Keywords
Cite
@article{arxiv.1811.01647,
title = {Order isomorphisms of operator intervals in von Neumann algebras},
author = {Michiya Mori},
journal= {arXiv preprint arXiv:1811.01647},
year = {2019}
}
Comments
24 pages