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INVERSE SPECTRAL THEORY FOR A CLASS OF NON-COMPACT HANKEL OPERATORS

Part of: Special classes of linear operators Spaces and algebras of analytic functions

Published online by Cambridge University Press:  06 September 2018

Patrick Gérard  and
Alexander Pushnitski
Patrick Gérard
Affiliation:
Laboratoire de Mathématiques d’Orsay, Université Paris-Sud XI, CNRS, UMR 8628, 91405 Paris, France email patrick.gerard@math.u-psud.fr
Alexander Pushnitski
Affiliation:
Department of Mathematics, King’s College London, Strand, London WC2R 2LS, U.K. email alexander.pushnitski@kcl.ac.uk
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Abstract

We characterize all bounded Hankel operators $\unicode[STIX]{x1D6E4}$ such that $\unicode[STIX]{x1D6E4}^{\ast }\unicode[STIX]{x1D6E4}$ has finite spectrum. We identify spectral data corresponding to such operators and construct inverse spectral theory including the characterization of these spectral data.

MSC classification

Primary: 47B35: Toeplitz operators, Hankel operators, Wiener-Hopf operators 30H10: Hardy spaces
Type
Research Article
Information
Mathematika , Volume 65 , Issue 1 , 2019 , pp. 132 - 156
Copyright
Copyright © University College London 2018 

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