Infinite real symmetric matrix

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# Infinite real symmetric matrix

Submitted by TheoricienQuantique on Tue, 10/02/2012 - 16:41

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Hello everyone,

As well known the spectrum of a finite symmetric real matrix is real. I would like to know if this is true of infinite real symmetric matrices ?

Thank you !

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## Versions

(v1) by TheoricienQuantique 2012-10-02

## Re: Infinite real symmetric matrix

Look for the "spectrum of a self-adjoint operator on a Hilbert space"

That will get you started in the right direction. The short answer, yes.