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Factorisation in nest algebras |
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| Authors: | M Anoussis E G Katsoulis |
| Institution: | Department of Mathematics, University of the Aegean, Karlovassi 83200, Greece E. G. Katsoulis ; Department of Mathematics, East Carolina University, Greenville, North Carolina 27858 |
| Abstract: | We give a necessary and sufficient condition on an operator  for the existence of an operator  in the nest algebra  of a continuous nest  satisfying  (resp.  . We also characterise the operators  in  which have the following property: For every continuous nest  there exists an operator  in  satisfying  (resp.  . |
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