T. Miura

collaborators

4 papers

math.FA2026

Norm-Additive Maps on the Positive Unit Sphere of $C^{1} ([0, 1])$

Kazuki Ezumi, Takeshi Miura

Let $C^{1} (I)$ denote the space of all continuously differentiable real-valued functions on the closed unit interval $I = [0, 1]$ . For $1 \leq p \leq \infty$ , we equip $C^{1} (I)$ with the norm…

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,…

math.FA2026

A variant of Tingley's problem for positive unit spheres of continuous functions that vanish at infinity

Kazuki Ezumi, Min-Ruei Lin, Takeshi Miura

Let $S (C_{0} (X))^{+}$ and $S (C_{0} (Y))^{+}$ denote the positive parts of the unit spheres of $C_{0} (X)$ and $C_{0} (Y)$ , where $X$ and $Y$ are locally compact Hausdorff spaces. We prove that ev…

Norm-Additive Maps on the Positive Unit Sphere of C1([0,1])

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

A variant of Tingley's problem for positive unit spheres of continuous functions that vanish at infinity

Norm-Additive Maps on the Positive Unit Sphere of $C^{1} ([0, 1])$