Browsing Institut Universitari de Matemàtiques i Aplicacions de Castelló (IMAC) by Source "International Mathematics Research Notices, Volume 2023, Issue 16, August 2023"
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Smooth and Polyhedral Norms via Fundamental Biorthogonal Systems
Oxford University Press (2022-08-04)Let X be a Banach space with a fundamental biorthogonal system, and let Y be the dense subspace spanned by the vectors of the system. We prove that Y admits a C∞-smooth norm that locally depends on finitely many coordinates ...