$2$-rotund norms for unconditional and symmetric sequence spaces
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914913787576320 |
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| author | Dilworth, Stephen Kutzarova, Denka Motakis, Pavlos |
| author_facet | Dilworth, Stephen Kutzarova, Denka Motakis, Pavlos |
| contents | A reflexive Banach space with an unconditional basis admits an equivalent $1$-unconditional $2R$ norm and embeds into a reflexive space with a $1$-symmetric $2R$ norm. Partial results on $1$-symmetric $2R$ renormings of spaces with a symmetric basis are obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_01419 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $2$-rotund norms for unconditional and symmetric sequence spaces Dilworth, Stephen Kutzarova, Denka Motakis, Pavlos Functional Analysis 46B20 A reflexive Banach space with an unconditional basis admits an equivalent $1$-unconditional $2R$ norm and embeds into a reflexive space with a $1$-symmetric $2R$ norm. Partial results on $1$-symmetric $2R$ renormings of spaces with a symmetric basis are obtained. |
| title | $2$-rotund norms for unconditional and symmetric sequence spaces |
| topic | Functional Analysis 46B20 |
| url | https://arxiv.org/abs/2404.01419 |