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Maximal Spaceability of the set of non-absolutely summing operators in quasi-Banach spaces

Araújo, Daniel
arXiv (All) · Papers
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functional-analysis
For every $0<p<1$, we establish maximal spaceability of the bounded operators on $\ell_p$ which fail to be $(r,s)$-absolutely summing for all $1\le s\le r<\infty$, using the coordinate-disjointization construction and Maddox's theorem. We give detailed isometric estimates and prove a corresponding m
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