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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Integrable factors in compact Schur multipliers


Author: Mats Erik Andersson
Journal: Proc. Amer. Math. Soc. 133 (2005), 1469-1473
MSC (2000): Primary 47A68; Secondary 47B07, 42A38, 43A46
Published electronically: December 6, 2004
MathSciNet review: 2111947
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Abstract: It is shown that a Schur multiplier is compact if and only if it is the Schur product of two multipliers, one of which is a Hankel-Schur multiplier generated by an integrable function. This is illuminated by factoring exotic, singular measures and is brought into relation with Paley set-based multipliers.


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Additional Information

Mats Erik Andersson
Affiliation: Bellmansgatan 118, SE-754 26 Uppsala, Sweden
Email: mats@math.uu.se

DOI: http://dx.doi.org/10.1090/S0002-9939-04-07670-1
PII: S 0002-9939(04)07670-1
Keywords: Riesz products, Paley sets, Littlewood multiplier, compact operator, Hardy space multiplier
Received by editor(s): October 8, 2003
Received by editor(s) in revised form: February 1, 2004
Published electronically: December 6, 2004
Communicated by: Joseph A. Ball
Article copyright: © Copyright 2004 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.