Abstract
In recent years several papers have appeared which focus on the structure of the commutant modulo compacts or essential commutant of certain algebras of operators on Hilbert space. For von Neumann algebras B. Johnson and S. Parrott [6]have shown that for all, but possibly ones containing certain type II1 direct summands, the essential commutant is the algebraic commutant plus the compact operators. Subsequently characterizations have been given for the essential commutant of the analytic Toeplitz ope-rators [3], nest algebras [2] and nest subalgebras of von Neumann algebras [4].
Partially supported by the National Science Foundation.
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© 1981 Springer Basel AG
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Gilfeather, F., Larson, D.R. (1981). Commutants Modulo the Compact Operators of Certain CSL Algebras. In: Apostol, C., Douglas, R.G., Nagy, B.S., Voiculescu, D., Arsene, G. (eds) Topics in Modern Operator Theory. Operator Theory: Advances and Applications, vol 2. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5456-6_9
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DOI: https://doi.org/10.1007/978-3-0348-5456-6_9
Publisher Name: Birkhäuser, Basel
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