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- W4313483364 abstract "We investigate lineability/spaceability problems within the setting of multilinear summing operators on quasi-Banach sequence spaces. Furthermore, we deal with the contemporary geometric notions of pointwise-lineability and $(alpha,beta)$-lineability. Among other results, we prove that the class of multilinear operators taking values on $ell_q , (0<q leq infty)$ that are absolutely but not multiple summing is pointwise $mathfrak{c}$-spaceable when non-empty. Spaceability in other classes, such as Dunford-Pettis operators and multilinear operators on general summable scalar families, is also studied." @default.
- W4313483364 created "2023-01-06" @default.
- W4313483364 creator A5042880940 @default.
- W4313483364 creator A5052769904 @default.
- W4313483364 date "2022-12-30" @default.
- W4313483364 modified "2023-09-30" @default.
- W4313483364 title "Large structures within the class of summing operators" @default.
- W4313483364 doi "https://doi.org/10.48550/arxiv.2301.00120" @default.
- W4313483364 hasPublicationYear "2022" @default.
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