Timeline for LF or LB space that happens to be finite dimensional
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 19, 2023 at 19:06 | comment | added | Iosif Pinelis | @Isaac : If $T_n(V_n)$ is a subset, for each $n$, of the set (say $S$) of all smooth functions, then the union of any subsets of the $T_n(V_n)$'s is a subset of $S$ -- by the very definition of the union. | |
| Jun 19, 2023 at 18:54 | comment | added | Isaac | (ii) If you mean that the functions in the union space are all smooth, could you tell me how to prove this fact rigorously? | |
| Jun 19, 2023 at 18:54 | comment | added | Isaac | (i) I just interchanged them. (ii) what do you mean it disappeared?? (iii) I would like to make sure about equivalence of norms as well. Could you please check? | |
| Jun 19, 2023 at 18:49 | comment | added | Iosif Pinelis | @Isaac : (i) I think the order of the composition $P_{n,n'} \circ P_{n', k}$ should be interchanged. (ii) The question about smooth functions in the image has now disappeared. (iii) The rest of the answer is not affected by your edits. | |
| Jun 19, 2023 at 18:43 | vote | accept | Isaac | ||
| Jun 19, 2023 at 18:38 | comment | added | Isaac | Oh, I see. In fact, I need to change the condition $T_n(V_m) \subset T_{n+1}(V_m)$ to a different one. I edited the question as such. Could you answer it as well please? | |
| Jun 19, 2023 at 18:25 | history | answered | Iosif Pinelis | CC BY-SA 4.0 |