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A solution to a conjecture on the norm of the Copson operator minus the Identity for monotone sequences

Said, Achraf Ben et al.
arXiv (All) · Papers
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functional-analysis
We investigate the operator distance between the Identity and the Copson operator on the cone of nonnegative, nonincreasing sequences within the Lebesgue sequence spaces $\ell^p(\mathbb{N})$. By proving the exact value of this distance, we confirm a conjecture originally formulated by A. Ben Said, S
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