Multipliers of weighted spaces and reflexivity property

Dussau, Xavier

doi:10.1090/S0002-9939-04-07640-3

Multipliers of weighted spaces and reflexivity property
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by Xavier Dussau

Proc. Amer. Math. Soc. 133 (2005), 1379-1386

DOI: https://doi.org/10.1090/S0002-9939-04-07640-3

Published electronically: October 18, 2004

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Abstract:

We prove for some translation-invariant weighted spaces $E$ the following characterization: $T$ is a multiplier of $E$ if and only if $T$ leaves invariant every translation-invariant subspace of $E$. This result is equivalent with the reflexivity of the multiplier algebra of $E$.

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