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Pointwise domination of matrices and comparison of โ<sub><i>p</i></sub>norms
Let p be a real number in [1, โ) which is not an even integer. Let N = 2[p/2] + 5. We give examples of N X N matrices A and B, so that |aij| โค bij but Tr([A*A]p/2) > Tr([B*B]p/2).