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arXiv · 2411.06938

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

Jamilson R. Campos·Lucas Nascimento·Luiz Felipe de Pinho Sousa
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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.

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Jamilson R. Campos, Lucas Nascimento, Luiz Felipe de Pinho Sousa. 2024-11-11. An injective-type norm and integral bilinear forms defined by sequence classes. https://arxiv.org/abs/2411.06938

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