Timeline for Weak convergence, and Cesaro convergence (of mu_n (E) ) imply convergence (of mu_n (E))?
Current License: CC BY-SA 3.0
3 events
when toggle format | what | by | license | comment | |
---|---|---|---|---|---|
Feb 28, 2013 at 18:46 | vote | accept | FelipeG | ||
Nov 12, 2012 at 20:05 | comment | added | FelipeG | Thanks, I was not looking for the case when the cesaro means do not converge. I wanted that as a part of the hypothesis. But I think your counter example works, if you take $x_{n}$=0 only sporadically, then you will have cesaro mean convergence but not convergence. | |
Nov 10, 2012 at 3:17 | history | answered | Alexandre Eremenko | CC BY-SA 3.0 |