2024/08/14 by Willian H. G. Corrêa, Sheldon Dantas, Corrêa, Willian +3
Mathematics · Physics and Astronomy · #Advanced Banach Space Theory #Advanced Differential Geometry Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA)
paper · pdf · doi:10.48550/arxiv.2408.07827
openalex publication_date 2024/08/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
We obtain an infinite-dimensional cone of singular twisted Hilbert spaces Z(φ) which are isomorphic to their duals but not to their conjugate duals. We do that by showing that the subset of all bi-Lipschitz maps from [0, ∞) to ℝ is coneable. We also provide a characterization of the Kalton-Peck space among all twisted Hilbert spaces of the form Z(φ), which gives a partial answer to a conjecture of F. Cabello Sánchez and J. Castillo.