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arXiv · 1308.1073

On convoluters on $L^p$-spaces

Matthew Daws·Nico Spronk
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Abstract

We prove two theorems about convolution operators on $L^p(G)$ for a locally compact group $G$. First, if $G$ has the approximation property, then the algebra of convoluters is the algebra of pseudo-measures. Second, the bicommutant of the algebra of pseudo-measures is the algebra of convoluters.

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BibTeXRIS

Matthew Daws, Nico Spronk. 2013-08-05. On convoluters on $L^p$-spaces. https://doi.org/10.4064/sm170601-24-11

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