Min-Ruei Lin

works on

anchored norm 1 isometries 1 metric rigidity 1 order isomorphisms 1 phase-isometries 1 sobolev spaces 1

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math.FA2026

Metric Rigidity in Anchored Sobolev Spaces on Intervals

Min-Ruei Lin

The paper investigates when the positive unit spheres of anchored Sobolev spaces on bounded intervals are isometric, proving that this occurs only if the Sobolev orders coincide, a…

math.FA2026

A variant of Tingley's problem on ordered Banach spaces of absolutely continuous functions

Min-Ruei Lin

For each $1 \leq p \leq \infty$ and $j = 1, 2$ , let $A C^{p} (I^c ◯_{j})$ denote the Banach space of complex-valued absolutely continuous functions on a closed unit interval $I^c ◯_{j} = [x_{j}, x_{j} + 1]$ . We…

math.FA2026

Surjective isometries on the positive parts of the unit spheres of some function spaces

Yuta Enami, Daisuke Hirota, Hironao Koshimizu +1

We consider the space $C^{1} [0, 1]$ of continuously differentiable functions on the closed unit interval $[0, 1]$ and the space $Lip [0, 1]$ of Lipschitz continuous fun…

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…