2024 Summing multilinear operators and sequence classes
Geraldo Botelho, Davidson Freitas
Topol. Methods Nonlinear Anal. 63(2): 617-644 (2024). DOI: 10.12775/TMNA.2023.033

Abstract

We construct a general framework that generates classes of multilinear operators between Banach spaces which encompasses, as particular cases, the several classes of summing type multilinear operators that have been studied individually in the literature. Summing operators by blocks in the isotropic and anisotropic cases are taken into account. The classes we create are shown to be Banach ideals of multilinear operators and applications to coherence and coincidence theorems are provided.

Citation

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Geraldo Botelho. Davidson Freitas. "Summing multilinear operators and sequence classes." Topol. Methods Nonlinear Anal. 63 (2) 617 - 644, 2024. https://doi.org/10.12775/TMNA.2023.033

Information

Published: 2024
First available in Project Euclid: 17 July 2024

Digital Object Identifier: 10.12775/TMNA.2023.033

Keywords: Banach ideals , ‎Banach spaces , sequence classes , summing multilinear operators

Rights: Copyright © 2024 Juliusz P. Schauder Centre for Nonlinear Studies

Vol.63 • No. 2 • 2024
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