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Jul 10, 2017 at 21:21 vote accept André Henriques
Oct 12, 2012 at 17:14 comment added András Bátkai Is this what you were looking for or something else? Should I give more details?
Oct 12, 2012 at 15:55 comment added André Henriques I mistakenly thought that "resolvent" means the same thing as "inverse".
Oct 11, 2012 at 23:11 comment added András Bátkai @André Henriques: What do you mean then by the statement you do not want to assume boundedness of resolvents? By selfadjointness, you have planty of resolvent points...
Oct 10, 2012 at 20:15 history edited András Bátkai CC BY-SA 3.0
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Oct 10, 2012 at 20:00 comment added András Bátkai This is usually satisfied if you have a large common domain ant the maps $t\mapsto A_t x$ are continuous.
Oct 10, 2012 at 19:59 comment added András Bátkai What about $(1+A_t)^{-1}$?
Oct 10, 2012 at 19:48 comment added André Henriques I don't want to assume that the resolvents $A_t^{-1}$ are bounded. How should I interpret "strong resolvent continuity" then?
Oct 10, 2012 at 19:39 history edited András Bátkai CC BY-SA 3.0
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Oct 10, 2012 at 19:32 history answered András Bátkai CC BY-SA 3.0