Superreflexive tensor product spaces
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914960679895040 |
|---|---|
| author | Zoca, Abraham Rueda |
| author_facet | Zoca, Abraham Rueda |
| contents | The aim of this note is to prove that, given two superreflexive Banach spaces $X$ and $Y$, then $X\widehat{\otimes}_πY$ is superreflexive if and only if either $X$ or $Y$ is finite-dimensional. In a similar way, we prove that $X\widehat{\otimes}_\varepsilon Y$ is superreflexive if and only if either $X$ or $Y$ is finite-dimensional. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_20220 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Superreflexive tensor product spaces Zoca, Abraham Rueda Functional Analysis The aim of this note is to prove that, given two superreflexive Banach spaces $X$ and $Y$, then $X\widehat{\otimes}_πY$ is superreflexive if and only if either $X$ or $Y$ is finite-dimensional. In a similar way, we prove that $X\widehat{\otimes}_\varepsilon Y$ is superreflexive if and only if either $X$ or $Y$ is finite-dimensional. |
| title | Superreflexive tensor product spaces |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2409.20220 |