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arXiv · 2512.08110

Isometric embeddings into $C(K)$-spaces doing stable phase retrieval

Enrique García-Sánchez·David de Hevia
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Abstract

Motivated by a question posed by Freeman, Oikhberg, Pineau and Taylor, we prove that if $K$ is a compact Hausdorff space with $K^{(\alpha)}\neq\varnothing$, where $2<\alpha<\omega$, then $C[1,\omega^\alpha]$ isometrically embeds into $C(K)$ doing stable phase retrieval (SPR). We also show that the latter cannot be extended to the case $\alpha=2$.

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Enrique García-Sánchez, David de Hevia. 2025-12-08. Isometric embeddings into $C(K)$-spaces doing stable phase retrieval. https://arxiv.org/abs/2512.08110

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