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A functional model for polynomially posinormal operators
Authors:Stoyko Kostov  Ivan Todorov
Affiliation:(1) Department of Mathematics, Indiana University, 47405 Bloomington, IN, USA;(2) Department of Mathematics, University of the Aegean, 82300 Karlovassi Samos, Greece
Abstract:
In this paper we introduce a class of operators naturally extending the classes of hyponormal and posinormal operators. For this class we construct a generating family of eigendistributions, unitary invariants and a functional model.
Keywords:AMS Subject Classification Primary 47B20  Secondary 46F12
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