Norm attaining operators into locally asymptotically midpoint uniformly convex Banach spaces
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866929259376803840 |
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| author | Fovelle, Audrey |
| author_facet | Fovelle, Audrey |
| contents | We prove that if $Y$ is a locally asymptotically midpoint uniformly convex Banach space which has either a normalized, symmetric basic sequence that is not equivalent to the unit vector basis in $\ell_1$, or a normalized sequence with upper p-estimates for some $p>1$, then $Y$ does not satisfy Lindenstrauss' property B. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_19067 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Norm attaining operators into locally asymptotically midpoint uniformly convex Banach spaces Fovelle, Audrey Functional Analysis We prove that if $Y$ is a locally asymptotically midpoint uniformly convex Banach space which has either a normalized, symmetric basic sequence that is not equivalent to the unit vector basis in $\ell_1$, or a normalized sequence with upper p-estimates for some $p>1$, then $Y$ does not satisfy Lindenstrauss' property B. |
| title | Norm attaining operators into locally asymptotically midpoint uniformly convex Banach spaces |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2402.19067 |