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On some classes of AC-operators

Published online by Cambridge University Press:  25 July 2002

M. B. Ghaemi
M. B. Ghaemi
Affiliation:
Department of Mathematics, University of Birjand, Birjand, Iran e-mail: [email protected]
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Abstract

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AC-operators generalise normal operators on Hilbert space in the context of well-boundedness. In this paper we study AC-operators T=U+iV, where U and V are commuting well-bounded operators with decomposition of the identity of bounded variation. We also explore some properties of AC-operators by applying the theory of (Foiaş) decomposable operators.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 44 , Issue 2 , May 2002 , pp. 329 - 338
Copyright
2002 Glasgow Mathematical Journal Trust