Year: 2026
Type: preprint
Abstract: We prove that every subspace $V\subset\ell_\infty^N$ of codimension one or two with absolute projection constant $λ(V)<4/3$ satisfies $$ d(V,\ell_\infty^{\dim V}) \leq\frac{λ(V)}{4-3λ(V)}. $$ We conjecture that the codimension assumption can be removed and that the same estimate holds for every subspace $V\subset\ell_\infty^N$ with $λ(V)<4/3$.
Source: arXiv (Cornell University)
Authors: Deregowska, Beata, Lewandowska, Barbara
Language: English
Topic: Advanced Banach Space Theory
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7220679521