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We characterize the optimal non-absolute domain for the Cesàro operator minus the identity \((C-\mathrm {I})\) , in the sequence space \(\ell ^p(\mathbb N)\) , \(1\le p\le \infty \) , and compare the results obtained with the case of C, showing the different behavior in both cases. We also address this question for the Copson operator \(C^*\) .

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Optimal Non-absolute Domains for the Cesàro Operator Minus the Identity

  • 章节

  • 发表日期：

    2025年

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  • Sorina Barza,
  • Javier Soria

摘要

We characterize the optimal non-absolute domain for the Cesàro operator minus the identity \((C-\mathrm {I})\) , in the sequence space \(\ell ^p(\mathbb N)\) , \(1\le p\le \infty \) , and compare the results obtained with the case of C, showing the different behavior in both cases. We also address this question for the Copson operator \(C^*\) .