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On the continuity of certain intertwining operators, centralizers, and positive linear functionals

On the continuity of certain intertwining operators, centralizers, and positive linear functionals

This theorem is an immediate consequence of a lemma found independently by Varopoulos [9] and Johnson [5] which generalizes Cohen's factorization theorem [1]. This lemma was used by Varopoulos to show that if A has a continuous involution, then every positive linear functional on A is continuous. Johnson used the …