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<p>In this work we define a class of injective-type norms 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.</p>

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An Injective-Type Norm and Integral-Type Bilinear Forms Defined by Sequence Classes

  • 期刊论文

  • 发表日期：

    2025年4月5日

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  • Jamilson R. Campos,
  • Lucas Nascimento,
  • Luiz Felipe P. Sousa

摘要

In this work we define a class of injective-type norms 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.