Uncomplemented subspaces in operator and polynomial ideals

G Botelho, VV Fávaro, SA Pérez - Revista Matemática Complutense, 2022 - Springer
Generalizing a number of known linear and nonlinear results, we establish conditions for the
space of linear operators belonging to a given operator ideal not to be complemented in the …

Summing multilinear operators and sequence classes

G Botelho, D Freitas - arXiv preprint arXiv:2110.11428, 2021 - arxiv.org
We construct a general framework that generates classes of multilinear operators between
Banach spaces which encompasses, as particular cases, the several classes of summing …