Operator norms of words formed from positive-definite matrices
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Let α1,α2,...,αn,β1,β2,...,βn be strictly positive reals with α1 +α2 +···+αn = β1 + β2 +···+ βn = s. In this paper, the inequality
|||Aα1Bβ1Aα2 ···AαnBβn|||≤|||AB|||s
when A and B are positive-definite matrices is studied. Related questions are also studied.
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