For finite matrices ##A## and ##B## we have Tr(AB)=Tr(BA) What happens in case of infinite matrices?
May 16, 2018 #1 LagrangeEuler 699 19 For finite matrices ##A## and ##B## we have [tex]Tr(AB)=Tr(BA)[/tex] What happens in case of infinite matrices?
For finite matrices ##A## and ##B## we have [tex]Tr(AB)=Tr(BA)[/tex] What happens in case of infinite matrices?
May 16, 2018 #2 nomadreid Gold Member 1,571 170 See the first paragraph of https://en.wikipedia.org/wiki/Trace_(linear_algebra)#Coordinate-free_definition
See the first paragraph of https://en.wikipedia.org/wiki/Trace_(linear_algebra)#Coordinate-free_definition
May 16, 2018 #4 TeethWhitener Science Advisor Gold Member 2,319 1,824 Look up "trace class operator:" https://en.wikipedia.org/wiki/Trace_class