A new 2-inner product on the space of p-summable sequences
| Autor: | Şükran Konca, Mochammad Idris, Hendra Gunawan |
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| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: | |
| Zdroj: | Journal of the Egyptian Mathematical Society, Vol 24, Iss 2, Pp 244-249 (2016) |
| Druh dokumentu: | article |
| ISSN: | 1110-256X |
| DOI: | 10.1016/j.joems.2015.07.001 |
| Popis: | In this paper, we wish to define a 2-inner product, non-standard, possibly with weights, on ℓp. For this purpose, we aim to obtain a different 2-norm ‖., .‖2,v,w, which is not equivalent to the usual 2-norm ‖., .‖p on ℓp (except with the condition p=2), satisfying the parallelogram law. We discuss the properties of the induced 2-norm ‖., .‖2,v,w and its relationships with the usual 2-norm on ℓp. We also find that the 2-inner product ⟨., .|.⟩v,w is actually defined on a larger space. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
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