Timeline for Does the law of a Feller Process on a non-locally-compact Polish space depend continuously on the initial condition (in Skorohod path-space)?
Current License: CC BY-SA 3.0
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| Aug 16, 2012 at 19:14 | history | edited | Wolfgang Loehr | CC BY-SA 3.0 |
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| Aug 16, 2012 at 18:59 | comment | added | Wolfgang Loehr | You have a point there, and I think you are right that it doesn't even hold for locally compact spaces. I overlooked how important the vanishing at infinity is. Thanks a lot for clarifying this point! | |
| Aug 16, 2012 at 16:09 | comment | added | George Lowther | I don't think this holds even for Feller processes on a locally compact space, according to your definitions. I haven't checked your reference, but you probably need to replace "bounded continuous" functions by $C_0$ functions. | |
| Aug 16, 2012 at 14:03 | history | asked | Wolfgang Loehr | CC BY-SA 3.0 |