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Functional Analysis Valencia 2000
July 3-7, 2000
Technical University of Valencia (UPV) and University of Valencia (UV)
Valencia, Spain

Organizers
R.M. Aron (Kent State U., USA), K.D. Bierstedt (U. Paderborn, Germany), J. Bonet (UPV), J. Cerdà (U. Barcelona, Spain), H. Jarchow (U. Zürich, Switzerland), M. Maestre (UV), J. Schmets (U. Liège, Belgium)

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AC-operators and well-bounded operators with dual of scalar-type
by
Mohammad B. Ghaemi
Dept. of Mathematics, University of Glasgow

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. If either X does not contain a subspace isomorphic to c0, or if U and V are decomposable in X, then the representation T=U+iV is unique. The results are analogous to, and overlap, but have a different scope from, those of [1].

Reference:

1. E. Berkson, T.A. Gillespie, Absolutely continuous functionsof two variables and well-bounded operators, J. London Math. Soc. 30 (1984) 305-321.

(T)

Date received: January 20, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caei-00.