A forgotten theorem of Ortyński, not far off
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arXiv
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| Format: | Preprint |
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2022
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| _version_ | 1866916287677988864 |
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| author | Sánchez, Félix Cabello Castillo, Jesús M. F. Salguero, Yolanda Moreno |
| author_facet | Sánchez, Félix Cabello Castillo, Jesús M. F. Salguero, Yolanda Moreno |
| contents | We combine techniques of Ortyński \cite{orty} and Moreno and Plichko \cite{moreplic} to show that, for $0<p<\infty$, every subspace of $\ell_p(Γ)$ having density character $\mathfrak m$ has the form $\ell_p(\mathfrak m, H_m)$ for some family of subspaces $H_m\subset \ell_p$. The ideas of Ortyński are then applied to obtain unique positions for Lindenstrauss spaces. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2204_00670 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A forgotten theorem of Ortyński, not far off Sánchez, Félix Cabello Castillo, Jesús M. F. Salguero, Yolanda Moreno Functional Analysis 46A16, 46B03, 46B07 We combine techniques of Ortyński \cite{orty} and Moreno and Plichko \cite{moreplic} to show that, for $0<p<\infty$, every subspace of $\ell_p(Γ)$ having density character $\mathfrak m$ has the form $\ell_p(\mathfrak m, H_m)$ for some family of subspaces $H_m\subset \ell_p$. The ideas of Ortyński are then applied to obtain unique positions for Lindenstrauss spaces. |
| title | A forgotten theorem of Ortyński, not far off |
| topic | Functional Analysis 46A16, 46B03, 46B07 |
| url | https://arxiv.org/abs/2204.00670 |