arXiv subjects

Lucas Nascimento

Publications and source records attributed to Lucas Nascimento.

2 recordsLinked to original sources

arXiv2024

An injective-type norm and integral bilinear forms defined by sequence classes

In this work we define a class of injective-type norm on tensor products through the environment of sequence classes. Examples and results on this norm will be presented and the duality is studied in this context. As a byproduct, we present the definition of the associated integral-type bilinear forms and also a tensor characterization for a class of sequence spaces.

math.FA↗

arXiv2022

Maximal ideals of generalized summing linear operators

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.

math.FA↗