Michiya Mori

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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 $P$ to the set of nilpotents in a factor $M$ equipped with a normal faithful tracial state $τ$ . W…

math.OA2024

Multiplicatively spectrum-preserving maps on $C^{*}$ -algebras

Michiya Mori, Shiho Oi

We study surjective maps between the sets of all self-adjoint elements of unital $C^{*}$ -algebras which satisfy the multiplicatively spectrum-preserving property. We show that such m…

math.OA2023

On the shape of correlation matrices for unitaries

Michiya Mori

For a positive integer $n$ , we study the collection $F_{fin} (n)$ formed of all $n \times n$ matrices whose entries $a_{ij}$ , $1 \leq i, j \leq n$ , can be written as…

Determination of the distance from a projection to nilpotents

Multiplicatively spectrum-preserving maps on C∗-algebras

On the shape of correlation matrices for unitaries

Multiplicatively spectrum-preserving maps on $C^{*}$ -algebras