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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Multipliers vanishing at infinity for certain compact groups

Author: Alessandro Figà-Talamanca
Journal: Proc. Amer. Math. Soc. 45 (1974), 199-203
MSC: Primary 43A22; Secondary 22C05
MathSciNet review: 0461035
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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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PII: S 0002-9939(1974)0461035-0
Article copyright: © Copyright 1974 American Mathematical Society

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