Natsumi Shibata

collaborators

4 papers

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

Norm additive mappings between the positive cones of continuous function algebras

Natsumi Shibata, Takeshi Miura

We study bijections between the positive cones of spaces of continuous functions vanishing at infinity that satisfy a norm additive condition. Such maps arise naturally in the stud…

math.FA2026

Additive and multiplicative maps in norm on the positive cone of continuous function algebras

Takeshi Miura, Natsumi Shibata

Let $X$ and $Y$ be locally compact Hausdorff spaces. We denote by $C_{0}^{+} (X)$ the positive cone of all real-valued continuous functions on $X$ vanishing at infinity. In this paper,…

Ring isomorphisms in norm between Banach algebras of continuous functions

Order Isomorphisms between Positive Cones of C0​(X)

Norm additive mappings between the positive cones of continuous function algebras

Additive and multiplicative maps in norm on the positive cone of continuous function algebras

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