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| Paper IPM / M / 18314 |
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In this article, we investigate $\mu$-lineability of the set of non-absolutely $p$-summing operators between certain pairs of Banach spaces. Moreover, we prove that for many known Banach spaces $E$ and $F$, $ \mathcal{K} (E,F) \setminus \bigcup_{1 \leq p < \infty}\varPi _p (E,F) $ is maximal lineable in $\mathcal{L}(E,F)$. Our results provide a more comprehensive answer to a question posed by Botelho, Diniz and Pellegrino [12].
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