Unbounded extensions and operator moment problems |
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| Authors: | E. Albrecht F.-H. Vasilescu |
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| Affiliation: | a Fachrichtung 6.1 - Mathematik, Universität des Saarlandes, 66041 Saarbrücken, Germany
b Laboratoire Paul Painlevé, U.F.R. de Mathématiques, Université de Lille I, 59655 Villeneuve d'Ascq, France |
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| Abstract: | Extension results, expressed in terms of complete boundedness, leading to necessary and sufficient conditions for the solvability of power moment problems with unbounded operator data are given. As an application, necessary and sufficient conditions for the existence of selfadjoint and normal extensions for some classes of commuting tuples of unbounded linear operators are obtained. |
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| Keywords: | Operator moment problems Normal extensions Selfadjoint extensions |
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