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Abstract
The usual techniques to generate ideals of multilinear operators between Banach spaces fail in generating hyper-ideals in general. In this paper, we fill this gap by developing two techniques to generate hyper-ideals of multilinear operators. The techniques we develop generate new classes of multilinear operators and show that some important well-studied classes are Banach or p-Banach hyper-ideals.
Acknowledgements
We thank Professors Mary Lilian Lourenço for making our collaboration possible and Vinícius V. Fávaro for his helpful suggestions. We also thank the referee for her/his careful reading of the paper and helpful suggestions.
Notes
No potential conflict of interest was reported by the authors.
Additional information
Funding
This work was supported by CNPq [grant number 305958/2014-3]; Fapemig [grant number PPM-00490-15]; by a PNPD-CAPES postdoctoral scholarship.