Izuho Matsuzaki

collaborators

6 papers

math.OA2026

Involution-preserving ring isomorphisms in norm between unital $C^{*}$ -algebras

Izuho Matsuzaki

Let $A$ and $B$ be nonzero unital $C^{*}$ -algebras with units $1_{A}$ and $1_{B}$ , respectively, and let $T : A \to B$ be a bijection satisfying \[ \|T(a+b)\|=\|T(a)+T(b)\|, \qquad \|…

math.FA2026

Ring isomorphisms in norm between Banach algebras of continuous functions

Natsumi Shibata, Izuho Matsuzaki, Takeshi Miura

Let $X$ and $Y$ be locally compact Hausdorff spaces and let $K \in {R, C}$ . We say that a bijection $T : C_{0} (X, K) \to C_{0} (Y, K)$ is a…

math.FA2026

Order Isomorphisms between Positive Cones of $C_{0} (X)$

Natsumi Shibata, Izuho Matsuzaki, Takeshi Miura

Let $X$ and $Y$ be locally compact Hausdorff spaces. We study order isomorphisms \[ T:C_0^+(X)\to C_0^+(Y), \] where $C_{0} (X)$ denotes the Banach space of all real-valued continuous…

math.FA2026

Globalization of local sign structures for phase-isometries on uniform algebras

Yuta Enami, Daisuke Hirota, Izuho Matsuzaki +1

We study surjective phase-isometries between the unit spheres of uniform algebras. Although such maps preserve maximal convex sets up to signs, the resulting local sign ambiguity p…

math.FA2026

On phase-isometries between the unit spheres of the Banach space of continuous real-valued functions

Yuta Enami, Izuho Matsuzaki

For a locally compact Hausdorff space $L$ , we denote by $C_{0} (L, R)$ the Banach space of all continuous real-valued functions on $L$ vanishing at infinity, endowed with the…

math.FA2024

Phase-isometries between the positive cones of the Banach space of continuous real-valued functions

Daisuke Hirota, Izuho Matsuzaki, Takeshi Miura

For a locally compact Hausdorff space $L$ , we denote by $C_{0} (L, R)$ the Banach space of all continuous real-valued functions on $L$ vanishing at infinity equipped with the…

Involution-preserving ring isomorphisms in norm between unital C∗-algebras

Ring isomorphisms in norm between Banach algebras of continuous functions

Order Isomorphisms between Positive Cones of C0​(X)

Globalization of local sign structures for phase-isometries on uniform algebras

On phase-isometries between the unit spheres of the Banach space of continuous real-valued functions

Phase-isometries between the positive cones of the Banach space of continuous real-valued functions

Involution-preserving ring isomorphisms in norm between unital $C^{*}$ -algebras

Order Isomorphisms between Positive Cones of $C_{0} (X)$