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On the strongly mid p-summing operators and application
In this paper, we introduce and study the new ideal of strongly mid $p$-summing linear operators between Banach spaces. We prove, an operator is strongly mid $p$-summing if and only if its adjoint is absolutely mid $p^*$-summing. This result led us to prove, $X$ is $p$-Dunford-Pettis property $(1
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