Timeline for Weak*-null sequences in dual spaces
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 14, 2022 at 0:58 | vote | accept | Dongyang Chen | ||
| Jun 12, 2022 at 8:02 | history | edited | Dongyang Chen | CC BY-SA 4.0 |
deleted 39 characters in body
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| Jun 12, 2022 at 7:59 | answer | added | Dongyang Chen | timeline score: 0 | |
| Jun 12, 2022 at 7:45 | comment | added | Dongyang Chen | I mean that the set $\{x_{n}:n=1,2,\cdots\}$ is finite instead of infinite. | |
| Jun 11, 2022 at 18:33 | answer | added | Michael Renardy | timeline score: 0 | |
| Jun 11, 2022 at 16:21 | answer | added | Onur Oktay | timeline score: 1 | |
| Jun 11, 2022 at 12:40 | comment | added | Jack L. | I want to believe that you meant infinite instead of finite. Otherwise, as written, it seems you’re simply asking that if $f_n$ is a weak* null sequence in the closed dual unit ball, then is $$\lim_{m\to\infty}\langle f_m,x_N\rangle=0\,,$$ where $x_N$ is the last element in the finite set $\{x_n\}_{n=1}^{N}$? | |
| Jun 11, 2022 at 10:13 | history | asked | Dongyang Chen | CC BY-SA 4.0 |