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On dominant operators
Authors:Prof Joseph G Stampfli  Bhushan L Wadhwa
Institution:(1) Department of Mathematics, Indiana University, Swain Hall-East, 47401 Bloomington, IN, USA;(2) Cleveland State University, 44115 Cleveland, OH, USA
Abstract:This paper is devoted to the study of dominant operators with an emphasis on their spectral properties. In particular the equation (Tlambda)f(lambda)equiv equivx (T a dominant or hyponormal operator on the Hilbert space Hfr,xisinHfr andf a function from the open setU to Hfr) is investigated in an effort to discover necessary and/or sufficient conditions for the analyticity off.Supported in part by the National Science Foundation.
Keywords:
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