Elementary operators and invariant subalgebras |
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| Authors: | Keith J. Coates |
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| Affiliation: | Department of Mathematics, Illinois Wesleyan University, Bloomington, Illinois 61702 |
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| Abstract: | We provide an example of an elementary operator which leaves invariant a nest algebra but which cannot be written as a finite sum of multiplications each of which leaves the nest algebra invariant. We also prove that the given operator lies in the completely bounded norm closure of the linear span of the multiplications which leave the nest algebra invariant. |
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