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arXiv · 2505.17297

On the duality of DW-compact operators and DW-DP operators

Geraldo Botelho·Ariel Monção
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Abstract

We give a necessary condition and a sufficient condition on the Banach lattices E and F so that an operator from E to F is DW-compact whenever its adjoint is DW-compact. We do the same, with different conditions, for DW-DP operators. Moreover, we characterize the Banach lattices E and F for which the adjoint of every DW-compact operator from E to F is DW-compact.

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Geraldo Botelho, Ariel Monção. 2025-05-22. On the duality of DW-compact operators and DW-DP operators. https://arxiv.org/abs/2505.17297

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