Timeline for A minimality problem for a class of Banach spaces
Current License: CC BY-SA 4.0
14 events
| when toggle format | what | by | license | comment | |
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| Feb 8, 2020 at 23:10 | comment | added | Bunyamin Sari | Here is a reference | |
| Feb 8, 2020 at 22:55 | comment | added | Bill Johnson | That James' space fails cotype was proved by James himself in the 1970s IIRC. | |
| Feb 8, 2020 at 22:55 | comment | added | Ben W | @BunyaminSari Oh that's cool. I can find a reference myself if need be, now that I know what to look for. Ty : ) | |
| Feb 8, 2020 at 22:53 | comment | added | Bunyamin Sari | @Ben W Yes, $c_0$ is finitely representable in $\mathcal J$. I don't have access to references now though. | |
| Feb 8, 2020 at 22:35 | comment | added | Ben W | @BunyaminSari Right but can you really find $\ell_\infty^n$ uniformly in $\mathcal{J}$ in the first place? | |
| Feb 8, 2020 at 22:17 | comment | added | Bunyamin Sari | @Ben W The standard basis of $\mathcal J$ is skipped Hilbertian so whenever you have finite dimensional spaces with a gap in between their supports, they add in $\ell_2$ sense. | |
| Feb 8, 2020 at 21:59 | comment | added | Ben W | How do you know these spaces are subspaces of $\mathcal{J}$? I suppose its sufficient to prove the case $p=\infty$, whence the remaining cases follow due to the fact that all finite-dimensional spaces embed almost isometrically into $\ell_\infty^n$ for sufficiently large $n$. | |
| Feb 6, 2020 at 16:54 | answer | added | Bunyamin Sari | timeline score: 2 | |
| Feb 6, 2020 at 16:17 | comment | added | Bunyamin Sari | @YCor Yes to all. | |
| Feb 6, 2020 at 16:16 | history | edited | YCor | CC BY-SA 4.0 |
added linked to question
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| Feb 6, 2020 at 16:13 | comment | added | YCor | For somebody outside this community: $\ell^p_n$ means the $n$-dimensional $\ell^p$? $(\Sigma\cdots)_2$ means the $\ell^2$-sum? Certainly "is the Hilbert space" means "is isomorphic to a Hilbert space". | |
| Feb 6, 2020 at 16:08 | history | edited | S Argyros |
edited tags
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| Feb 6, 2020 at 14:10 | review | First posts | |||
| Feb 6, 2020 at 14:46 | |||||
| Feb 6, 2020 at 14:08 | history | asked | S Argyros | CC BY-SA 4.0 |