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A remark on the reproducing kernel thesis for Hankel operators


Author: S. Treil
Original publication: Algebra i Analiz, tom 26 (2014), nomer 3.
Journal: St. Petersburg Math. J. 26 (2015), 479-485
MSC (2010): Primary 47B35
DOI: https://doi.org/10.1090/S1061-0022-2015-01347-2
Published electronically: March 20, 2015
MathSciNet review: 3289181
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Abstract: A simple proof is given of the so-called reproducing kernel thesis for Hankel operators.


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Additional Information

S. Treil
Affiliation: Department of Mathematics, Brown University, 151 Thayer Str./Box 1917, Providence, Rhode Island 02912
Email: treil@math.brown.edu

DOI: https://doi.org/10.1090/S1061-0022-2015-01347-2
Keywords: Hankel operator, reproducing kernel thesis, Bonsall's theorem, Uchiyama's lemma
Received by editor(s): October 10, 2013
Published electronically: March 20, 2015
Additional Notes: This material is based on the work supported by the National Science Foundation under the grant DMS-0800876. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author and do not necessarily reflect the views of the National Science Foundation
Article copyright: © Copyright 2015 American Mathematical Society