Commutants of nest algebras modulo the compact operators |
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Authors: | Erik Christensen and Costel Peligrad |
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Institution: | (1) Matematiske Institut, K?benhavns Universitets, Universitetsparken 5, 2100 K?benhavn ?, Danmark;(2) Department of Mathematics, INCREST, Bd. Păcii 220, 77538 Bucharest, Romania |
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Abstract: | Any operatorx which commutes modulo the compact operators with a nest algebra is of the form λI+C, where λ is a scalar andC is a compact operator.
Any derivation from a nest algebra on a Hilbert spaceH into the compact operators onH is implemented by a compact operator.
Any derivation on a quasitriangular operator algebra is inner. |
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Keywords: | |
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