Timeline for Uniformly convex Banach spaces
Current License: CC BY-SA 4.0
8 events
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| Apr 26, 2022 at 0:26 | history | edited | Piotr Hajlasz | CC BY-SA 4.0 |
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| Apr 16, 2022 at 22:46 | answer | added | Onur Oktay | timeline score: 2 | |
| Apr 10, 2022 at 22:17 | comment | added | Bill Johnson | If you have at hand the theory of ultra powers of Banach spaces, the result is very easy. It is trivial that the $p$-direct sum of two strictly convex spaces is strictly convex (here $1<p<\infty$) and it is equally easy that a Banach space is uniformly convex if and only if its ultra powers are strictly convex. The downside of this line of argument is that you do not get any estimate on the modulus of convexity of the direct sum if you know the modulus of convexity of the direct summands. | |
| Apr 10, 2022 at 15:50 | comment | added | Willie Wong | @OnurOktay Maybe post it as an answer? | |
| Apr 10, 2022 at 13:46 | history | edited | Piotr Hajlasz | CC BY-SA 4.0 |
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| Apr 9, 2022 at 18:18 | comment | added | Onur Oktay | Professor @Hajlasz, the proof in doi.org/10.1016/s0022-247x(02)00282-2 is a bit lengthy but self-involved & straightforward in a way that one may even consider to suggest it for advanced undergrad or novice grad students. I hope you find it useful. | |
| Apr 9, 2022 at 14:06 | history | edited | Piotr Hajlasz | CC BY-SA 4.0 |
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| Apr 9, 2022 at 13:26 | history | asked | Piotr Hajlasz | CC BY-SA 4.0 |