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Integrable factors in compact Schur multipliers
Author(s):
Mats
Erik
Andersson
Journal:
Proc. Amer. Math. Soc.
133
(2005),
1469-1473.
MSC (2000):
Primary 47A68;
Secondary 47B07, 42A38, 43A46
Posted:
December 6, 2004
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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.
References:
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Additional Information:
Mats
Erik
Andersson
Affiliation:
Bellmansgatan 118, SE-754 26 Uppsala, Sweden
Email:
mats@math.uu.se
DOI:
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
Posted:
December 6, 2004
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2004,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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