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arXiv · 2206.02944

Maximal ideals of generalized summing linear operators

Geraldo Botelho·Jamilson R. Campos·Lucas Nascimento
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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.

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Geraldo Botelho, Jamilson R. Campos, Lucas Nascimento. 2022-06-06. Maximal ideals of generalized summing linear operators. https://arxiv.org/abs/2206.02944

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