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Am trying to see, if the following Trace function can be expressed using a Hilbert Schmidt Norm: $\operatorname{Tr}(X^TAX)$. Here, $X$ is a matrix whose entries take values that are finite and reals and $A$ is a positive semi-definite matrix. Am reading through a fundamental book in Functional analysis and hilbert spaces, and have a background in Linear Algebra and Advanced Calculus. Thank you.

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