Osamu Hatori

activity

20232026

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2 papers · 1 filter

math.FA2026

Order isomorphisms on positive cones of non-unital $C^{*}$ -algebras

Osamu Hatori, Shiho Oi

Let $A$ and $B$ be $C^{*}$ -algebras, not necessarily unital, and let $T : A_{+} \to B_{+}$ be a positively homogeneous order isomorphism. We first prove that $T$ is additive and extends uni…

math.FA2026

Surjective Fischer--Muszély maps on positive cones of JB-algebras

Osamu Hatori, Shiho Oi

We prove that every surjective Fischer--Muszély map between positive cones of arbitrary JB-algebras is additive and positively homogeneous, and extends uniquely to a bounded positi…

Order isomorphisms on positive cones of non-unital C∗-algebras

Surjective Fischer--Muszély maps on positive cones of JB-algebras

Order isomorphisms on positive cones of non-unital $C^{*}$ -algebras