On convoluters on Lp-spaces

Daws, Matthew orcid iconORCID: 0000-0003-1707-4308 and Spronk, Nico (2018) On convoluters on Lp-spaces. Studia Mathematica, 245 . pp. 15-31. ISSN 0039-3223

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Official URL: https://doi.org/10.4064/sm170601-24-11


We prove two theorems about convolution operators on Lp(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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