Infinite matrices and the Trace function

LagrangeEuler · 2018-05-16T12:47:33+00:00

For finite matrices ##A## and ##B## we have Tr(AB)=Tr(BA) What happens in case of infinite matrices?

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Thread starter LagrangeEuler
Start date May 16, 2018
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Function Infinite Matrices Trace

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LagrangeEuler

Thread starter
May 16, 2018

For finite matrices ##A## and ##B## we have
[tex]Tr(AB)=Tr(BA)[/tex]
What happens in case of infinite matrices?

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nomadreid

Gold Member

May 16, 2018

See the first paragraph of https://en.wikipedia.org/wiki/Trace_(linear_algebra)#Coordinate-free_definition

LagrangeEuler

May 16, 2018

Sorry but I am not sure that there is an answer on my question.

TeethWhitener

Science Advisor

Gold Member

May 16, 2018

Look up "trace class operator:"
https://en.wikipedia.org/wiki/Trace_class

Infinite matrices and the Trace function

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Infinite matrices and the Trace function

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