An injective-type norm and integral bilinear forms defined by sequence classes
Functional Analysis
2024-11-12 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2411.06938,
title = {An injective-type norm and integral bilinear forms defined by sequence classes},
author = {Jamilson R. Campos and Lucas Nascimento and Luiz Felipe de Pinho Sousa},
journal= {arXiv preprint arXiv:2411.06938},
year = {2024}
}