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[University] How can I prove that L_0 = (-i)^m (d^m u)/(dx^m) where u is a test function on (a,b) is a non-negative operator?

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[University] How can I prove that L_0 = (-i)^m (d^m u)/(dx^m) where u is a test function on (a,b) is a non-negative operator?
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