Multipliers vanishing at infinity for certain compact groups

Figà-Talamanca, Alessandro

doi:10.1090/S0002-9939-1974-0461035-0

Multipliers vanishing at infinity for certain compact groups
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Proc. Amer. Math. Soc. 45 (1974), 199-203 Request permission

Abstract:

We prove for certain compact groups $G$ and $1 < p < \infty ,p \ne 2$, that there exist operators commuting with left translations on ${L^p}(G)$ which are compact as operators on ${L^2}(G)$ but not as operators on ${L^p}(G)$.

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