The Bishop-Phelps-Bollobás property for operators defined on $c_0$-sum of Euclidean spaces
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Acceso en línea: | |
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| _version_ | 1866911019118362624 |
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| author | Grando, Thiago Lourenço, Mary Lilian |
| author_facet | Grando, Thiago Lourenço, Mary Lilian |
| contents | The main purpose of this paper is to study the Bishop-Phelps-Bollobás property for operators on $c_0$-sum of euclidean spaces. We show that the pair $ (c_0\left(\bigoplus^{\infty}_{k=1}\ell^{k}_{2} \right),Y)$ has the Bishop-Phelps-Bollobás property for operators (shortly BPBp for operators) whenever $Y$ is a uniformly convex Banach space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_06404 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The Bishop-Phelps-Bollobás property for operators defined on $c_0$-sum of Euclidean spaces Grando, Thiago Lourenço, Mary Lilian Functional Analysis Primary 46B04, Secondary 46B07, 46B20 The main purpose of this paper is to study the Bishop-Phelps-Bollobás property for operators on $c_0$-sum of euclidean spaces. We show that the pair $ (c_0\left(\bigoplus^{\infty}_{k=1}\ell^{k}_{2} \right),Y)$ has the Bishop-Phelps-Bollobás property for operators (shortly BPBp for operators) whenever $Y$ is a uniformly convex Banach space. |
| title | The Bishop-Phelps-Bollobás property for operators defined on $c_0$-sum of Euclidean spaces |
| topic | Functional Analysis Primary 46B04, Secondary 46B07, 46B20 |
| url | https://arxiv.org/abs/2208.06404 |