Order Isomorphisms of Operator Intervals in von Neumann Algebras
Tóm tắt
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.
Tài liệu tham khảo
Acta Sci. Math. (Szeged) 84(1–2) (2018)
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