Reflexivity of linear n-normed space with respect to b-linear functional
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866909366776496128 |
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| author | Ghosh, Prasenjit Samanta, Tapas Kumar |
| author_facet | Ghosh, Prasenjit Samanta, Tapas Kumar |
| contents | In continuation of the paper [3], we discuss various consequences of Hahn-Banach theorem for bounded b-linear functional in linear n-normed space and describe the notion of reflexivity of linear n-normed space with respect to bounded b-linear functional. The concepts of strong convergence and weak convergence of a sequence of vectors with respect to bounded b-linear functionals in linear n-normed space have been introduced and some of their properties are being discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2101_09661 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Reflexivity of linear n-normed space with respect to b-linear functional Ghosh, Prasenjit Samanta, Tapas Kumar Functional Analysis 46A22, 46B07, 46B25 In continuation of the paper [3], we discuss various consequences of Hahn-Banach theorem for bounded b-linear functional in linear n-normed space and describe the notion of reflexivity of linear n-normed space with respect to bounded b-linear functional. The concepts of strong convergence and weak convergence of a sequence of vectors with respect to bounded b-linear functionals in linear n-normed space have been introduced and some of their properties are being discussed. |
| title | Reflexivity of linear n-normed space with respect to b-linear functional |
| topic | Functional Analysis 46A22, 46B07, 46B25 |
| url | https://arxiv.org/abs/2101.09661 |