Michiya Mori

activity

20172026

most citedTingley's problem through the facial structure of operator algebras

47 citations · 92 across the 19 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.OA2018★ 11 cited

Order isomorphisms of operator intervals in von Neumann algebras

Michiya Mori

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 me…

math.OA2018★ 11 cited

Isometries between projection lattices of von Neumann algebras

Michiya Mori

We investigate surjective isometries between projection lattices of two von Neumann algebras. We show that such a mapping is characterized by means of Jordan $^{*}$ -isomorphisms. In…

math.FA2018★ 9 cited

Mankiewicz's theorem and the Mazur--Ulam property for C*-algebras

Michiya Mori, Narutaka Ozawa

We prove that every unital C*-algebra $A$ has the Mazur--Ulam property. Namely, every surjective isometry from the unit sphere $S_{A}$ of $A$ onto the unit sphere $S_{Y}$ of another no…