On convoluters on $L^p$-spaces
Functional Analysis
2021-09-15 v5 Operator Algebras
Abstract
We prove two theorems about convolution operators on for a locally compact group . First, if 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.
Cite
@article{arxiv.1308.1073,
title = {On convoluters on $L^p$-spaces},
author = {Matthew Daws and Nico Spronk},
journal= {arXiv preprint arXiv:1308.1073},
year = {2021}
}
Comments
Author accepted version; to appear in Studia Math