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An $\ell^1$-Isometric Subspace of $C[0,1]$ with Countable Oscillating Spectrum

Published 30 Sep 2025 in math.FA | (2509.26066v1)

Abstract: In this paper we construct a closed subspace $X\subset C[0,1]$ with countable oscillating spectrum $\Omega(X)$ such that $X$ is isometric to $\ell1$. This provides a negative answer to Question~4.3 posed by Enflo, Gurariy, and Seoane in [Trans. Amer. Math. Soc. \textbf{366} (2014)].

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Authors (1)

  1. Geivison Ribeiro 

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