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

2025/05/22 by Botelho, Geraldo, Monção, Ariel
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2505.17297

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.

Citations

• DW-DP operators and DW-limited operators on Banach lattices
• DW-compact operators on Banach lattices

Related

• DW-compact operators on Banach lattices
• DW-DP operators and DW-limited operators on Banach lattices
• d-Operators in Banach Lattices
• Extension of p-compact operators in Banach spaces
• Duality and Norm Completeness in the Classes of Limitedly--Lwc and Dunford--Pettis--Lwc Operators