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math.FA2026
Projection Constants and Banach-Mazur Distance in Codimension Two
Beata Deregowska, Barbara Lewandowska
We prove that every subspace of codimension one or two with absolute projection constant satisfies $$ d(V,\ell_\infty^{\dim V}) \leq\frac{λ(V)}{4…
math.FA2026
From Sidelnikov-Welch bounds to projection constants
Beata Deregowska, Barbara Lewandowska
In the paper, we prove a recursive version of the weighted Sidelnikov-Welch inequality for real and complex unit vectors. Unlike the classical form, which gives a direct lower boun…
math.FA2026
Maximal Projection Constants and Extremal Vector Configurations: Some Conjectures and Examples
Beata Deregowska, Barbara Lewandowska
Let denote the maximal absolute projection constant among -dimensional Banach spaces over or . Its exact value is known only…