Abstract
For an infinite compact Abelian group $G$ and $1<p<2$, it was shown in [9] that there exists a $L^{p}(G)$ multiplier which is not completely bounded. In this note, we show that in infinite every locally compact Abelian group $G$ there is a $L^{p}(G)$ multiplier which is not completely bounded.
Citation
S. Dutta. P. Mohanty. U. B. Tewari. "Multipliers which are not completely bounded." Illinois J. Math. 56 (2) 571 - 578, Summer 2012. https://doi.org/10.1215/ijm/1385129965
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