Work

Arazy's conjecture concerning Schur multipliers: revisited and resolved

Year: 2026
Type: preprint
Abstract: Let $\mathcal{S}^ r$ denote the Schatten--von Neumann class and let $S_{Ψ_{f,λ}}$ be the Schur--Hadamard multiplier whose symbol is the divided-difference matrix of $f$ along $λ$. Let $0<α,r<\infty$, let $f\in C^1([-1,1])$ satisfy $f(0)=0$, $|f'(t)|\lesssim |t|^α$, and let $λ\in\ell^r$ be real with $\|λ\|_{\ell^\infty}\leq1$. We determine the pairs $0
Language: English
Open Access status: green
OpenAlex ID: W7213381731
Cites: 2
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Related to: 10