Timeline for Extracting block sequences from $\ell_p^n$-like sequences in isomorphic copies of $\ell_p$
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Jun 26, 2022 at 18:43 | comment | added | Bunyamin Sari | Take a sequence $(u_i)_1^D$ of disjointly supported but with interlacing supports. For instance, take $nD$ basis vectors for $n>D$ is arbitrary, and each $u_i$ is sum of $i'$th basis vectors from each block of $D$ vectors and normalized (each coefficient is $1/n^p$). Then any $y_i$'s as you defined are also interlacing and it won't be close to a block sequence of the basis. The point is that quantitatively you cannot distinguish disjointly supported vectors from successive blocks. | |
| Jun 26, 2022 at 18:18 | comment | added | Bill Johnson | Except for being obviously false for $p=2$, this is a good question. But I do not answer questions from new users who do not use their real names. | |
| S Jun 26, 2022 at 15:16 | review | First questions | |||
| Jun 26, 2022 at 16:06 | |||||
| S Jun 26, 2022 at 15:16 | history | asked | user469053 | CC BY-SA 4.0 |