Timeline for Some estimates on tensor norms
Current License: CC BY-SA 4.0
11 events
| when toggle format | what | by | license | comment | |
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| Jun 29, 2021 at 21:22 | comment | added | Iosif Pinelis | @Abeginnermathmatician : Yes, this sounds right, there should be a similar oscillatory behavior. | |
| Jun 29, 2021 at 14:10 | comment | added | A beginner mathmatician | I have done the calculation. It is right. Your construction is quite ingenious! I had some probabilistic examples involving Bernoulli r.v.s . If one takes b_jk to be iid Bernoulli r.v.s with uniform probability distribution then one can work out that with huge probability we have the estimate on the ratio similar to yours. Getting such a concrete example is challenging. However, your example has the same oscillatory nature of Bernoulli r.v.s | |
| Jun 29, 2021 at 13:56 | comment | added | Iosif Pinelis | I think such sums can be found in handbooks such as Gradshteyn--Ryzhik. | |
| Jun 29, 2021 at 13:47 | comment | added | A beginner mathmatician | Is there some direct formula from where I can deduce this? I cam see that the matrix you wrote down is real pat of DFT matrix which is unitary. | |
| Jun 29, 2021 at 13:45 | comment | added | Iosif Pinelis | @Abeginnermathmatician : It is orthogonal. I have added details on that. | |
| Jun 29, 2021 at 13:44 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| Jun 29, 2021 at 13:23 | comment | added | A beginner mathmatician | The matrix $nB$ is not orthogonal. | |
| May 27, 2021 at 8:55 | vote | accept | A beginner mathmatician | ||
| May 17, 2021 at 17:39 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| May 17, 2021 at 17:32 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| May 17, 2021 at 16:55 | history | answered | Iosif Pinelis | CC BY-SA 4.0 |