Timeline for Integral means vs infinite convex combinations
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Mar 24 at 18:41 | comment | added | Pietro Majer | This is also a nice source of examples. Thank you! | |
| Mar 24 at 18:28 | comment | added | an_ordinary_mathematician | I was probably skipping details, but since the series convergences pointwise the limit must coincide with the norm limit (in any reasonable norm like L2) | |
| Mar 24 at 18:24 | comment | added | Gerald Edgar | Nice idea. The series $\sum \lambda_k f(x_k)$ presumably converges in the norm of $E$. Which (in case $E$ is a space of functions) may or may not imply pointwise convergence. I spent a lot of space in my solution justifying the pointwise convergence. | |
| Mar 24 at 18:05 | history | answered | an_ordinary_mathematician | CC BY-SA 4.0 |