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Local spectral properties of convolution operators on non-abelian groups

  • Volker Runde (a1)

Abstract

Let G be a Moore group. Then, for each fL1(G), the convolution operator Lf: L1(G)→L1(G) is decomposable. On the other hand, there is a discrete probability measure µ on a compact group G such that Lµ: Ll(G)→Ll(G) fails to be decomposable.

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References

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