Timeline for Does there exists a smooth reflexive infinite dimensional Banach space that is not strictly convex
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Apr 26, 2023 at 8:39 | comment | added | YCor | I may miss something, but doesn't the example in my comment solve your question? | |
| Apr 26, 2023 at 7:56 | comment | added | PPB | Thank you so much. However, I am also looking for an $l_2$ space with an equivalent norm such that the norm is smooth but not strictly convex. | |
| Apr 26, 2023 at 7:51 | history | edited | PPB | CC BY-SA 4.0 |
edited title
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| Apr 26, 2023 at 5:39 | comment | added | YCor | Start from a smooth but not strictly convex norm on $\mathbf{R}^2$ and take the $\ell^2$-direct sum with an infinite-dimensional Hilbert space? Well this answers the question in the body but not the question in the title. Please fix your question so that the question in the body coincides with that in the title. | |
| Apr 26, 2023 at 5:38 | history | edited | YCor | CC BY-SA 4.0 |
removed capitals from title
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| Apr 26, 2023 at 5:36 | history | asked | PPB | CC BY-SA 4.0 |