Integrable factors in compact Schur multipliers

Andersson, Mats

doi:10.1090/S0002-9939-04-07670-1

Integrable factors in compact Schur multipliers
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by Mats Erik Andersson

Proc. Amer. Math. Soc. 133 (2005), 1469-1473

DOI: https://doi.org/10.1090/S0002-9939-04-07670-1

Published electronically: 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.

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