Maximal ideals of generalized summing linear operators
Functional Analysis
2022-06-22 v2
Abstract
We prove when a Banach ideal of linear operators defined, or characterized, by the transformation of vector-valued sequences is maximal. Known results are recovered as particular cases and new information is obtained. To accomplish this task we study a tensor quasi-norm determined by the underlying sequence classes. The duality theory for these tensor quasi-norms is also developed.
Cite
@article{arxiv.2206.02944,
title = {Maximal ideals of generalized summing linear operators},
author = {Geraldo Botelho and Jamilson R. Campos and Lucas Nascimento},
journal= {arXiv preprint arXiv:2206.02944},
year = {2022}
}
Comments
15 pages