Year: 2026
Type: preprint
Abstract: A classical theorem of Figiel asserts that every isometric embedding $φ\colon X\to Y$ between real Banach spaces, with $φ(0)=0$, admits a linear contractive left inverse on the closed linear span of $φ(X)$. We show that this phenomenon breaks down completely once local convexity is lost. More precisely, for every $0
Source: arXiv (Cornell University)
Institution: Institute for Advanced Materials and Mathematics
Language: English
Topic: Advanced Banach Space Theory
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7221060588