On the Uniqueness of a Minimal Norm Representative of an Operator in the Commutant of the Compressed Shift
Tannenbaum, Allen R.
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In this note we give a new criterion guaranteeing the uniqueness of a minimal norm representative of a bounded linear operator which commutes with a finite multiplicity shift. We moreover give examples which show that if the hypotheses of our theorem are violated then the minimal norm representative may not be unique.