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Journal of the London Mathematical Society 2002 66(3):741-752; doi:10.1112/S002461070200368X
© 2002 by London Mathematical Society
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© The London Mathematical Society

Essentially Hankel Operators

Rubén A. Martínez-Avendaño

Department of Mathematics, Michigan State University East Lansing, MI 48824, USA, ruben{at}math.msu.edu

Received 3 August 2001. Revision received 1 March 2002.

The set of essentially Hankel operators is introduced and some of its properties are investigated. It is shown in particular that the set contains some operators not of the form ‘Hankel plus compact’, even when restricted to the class of essentially Hankel operators with trivial (Fredholm) index function.


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