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21th International Conference on Operator Theory
June 29 - July 4, 2006
West University of Timisoara and Institute of Mathematics of the Romanian Academy
Timisoara, Romania

Organizers
Steering Committee: W.B. Arveson, K.R. Davidson, N.K. Nikolskii, S. Stratila and F.-H. Vasilescu

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Local operator systems and multinormed C*-algebras
by
Anar Dosiev
Department of Mathematics, Atilim University, Incek 06836, Ankara, Turkey

We talk about representation theorem for local operator spaces which extends Ruan's representation theorem for (normed) operator spaces. Based upon this result we introduce local operator systems. Replacing B(H) with a maximal Frechet operator C*-algebra we propose Arveson-Hahn-Banach-Webster theorem for local operator systems. Finally, we investigate Stinespring theorem for local operator systems and propose a representation theorem for unital multinormed C*-algebras.

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Date received: March 8, 2006

Copyright © 2006 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 # case-08.