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math.OA2024
Determination of the distance from a projection to nilpotents
Masaki Izumi, Michiya Mori
In this note, we study the distance from an arbitrary nonzero projection to the set of nilpotents in a factor equipped with a normal faithful tracial state . W…
math-ph2024
Optimal version of the fundamental theorem of chronogeometry
Michiya Mori, Peter Šemrl
We study lightlikeness preserving mappings from the -dimensional Minkowski spacetime to itself under no additional regularity assumptions like continuity, surjec…
math.OA2024
Multiplicatively spectrum-preserving maps on -algebras
Michiya Mori, Shiho Oi
We study surjective maps between the sets of all self-adjoint elements of unital -algebras which satisfy the multiplicatively spectrum-preserving property. We show that such m…