Michiya Mori

activity

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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3 papers · 1 filter

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…

math.FA2019★ 1 cited

On 2-local nonlinear surjective isometries on normed spaces and C $^{*}$ -algebras

Michiya Mori

We prove that, if the closed unit ball of a normed space $X$ has sufficiently many extreme points, then every mapping $Φ$ from $X$ into itself with the following property is affine…

math.FA2018

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…

Loewner's theorem for maps on operator domains

On 2-local nonlinear surjective isometries on normed spaces and C∗-algebras

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

On 2-local nonlinear surjective isometries on normed spaces and C $^{*}$ -algebras