An injective-type norm and integral bilinear forms defined by sequence classes
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866910693613109248 |
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| author | Campos, Jamilson R. Nascimento, Lucas Sousa, Luiz Felipe de Pinho |
| author_facet | Campos, Jamilson R. Nascimento, Lucas Sousa, Luiz Felipe de Pinho |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_06938 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An injective-type norm and integral bilinear forms defined by sequence classes Campos, Jamilson R. Nascimento, Lucas Sousa, Luiz Felipe de Pinho Functional Analysis 47L20, 46B45, 47B37, 46B10, 46A32, 47A07 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. |
| title | An injective-type norm and integral bilinear forms defined by sequence classes |
| topic | Functional Analysis 47L20, 46B45, 47B37, 46B10, 46A32, 47A07 |
| url | https://arxiv.org/abs/2411.06938 |