Takeshi Miura

activity

20242026

collaborators

6 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

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

Ring isomorphisms in norm between Banach algebras of continuous complex-valued functions

T. Miura, T. Takahashi

Let $X$ and $Y$ be compact Hausdorff spaces, and let $C (X)$ and $C (Y)$ denote the commutative Banach algebras of all continuous complex-valued functions on $X$ and $Y$ , respectivel…

math.FA2025

Surjective isometries on function spaces with derivatives

M. G. Cabrera-Padilla, A. Jiménez-Vargas, Takeshi Miura +1

Let $A$ be a complex Banach space with a norm $∥ f ∥ = ∥ f ∥_{X} + ∥ d (f) ∥_{Y}$ for $f \in A$ , where $d$ is a complex linear map from $A$ onto a Banach space $B$ , and $∥ \cdot ∥_{K}$ represe…

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…

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

Ring isomorphisms in norm between Banach algebras of continuous complex-valued functions

Surjective isometries on function spaces with derivatives

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

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