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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.FA2020
Loewner's theorem for maps on operator domains
Michiya Mori, Peter Šemrl
The classical Loewner's theorem states that operator monotone functions on real intervals are described by holomorphic functions on the upper half-plane. We characterize local orde…