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20182021
most citedOn 2-local nonlinear surjective isometries on normed spaces and C-algebras

1 citations · 2 across the 4 of their papers we have counts for

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math.OA2020

Lattice isomorphisms between projection lattices of von Neumann algebras

Michiya Mori

Generalizing von Neumann's result on type II von Neumann algebras, we characterize lattice isomorphisms between projection lattices of arbitrary von Neumann algebras by means o…

math.OA2018

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

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…