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    Trace on inner-product space.

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    Suppose that V is an inner-product space. Prove that if T: V-->V is a
    positive operator and trace(T)=0, then T=0.

    © BrainMass Inc. brainmass.com December 15, 2022, 5:19 pm ad1c9bdddf
    https://brainmass.com/math/linear-algebra/trace-inner-product-space-75964

    Solution Preview

    Trace(T) = sum of all eigenvalues of T.
    T positive --> all ...

    Solution Summary

    A trace on an inner-product space is investigated. Positive operators and trace functions are examined.

    $2.49

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