Existence and nonuniqueness of invariant means on ℒ^{∞}(𝒢̂)

Dunkl, Charles F.; Ramirez, Donald E.

doi:10.1090/S0002-9939-1972-0296609-1

Existence and nonuniqueness of invariant means on $\mathcal {L}^\infty (\hat G)$
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by Charles F. Dunkl and Donald E. Ramirez PDF

Proc. Amer. Math. Soc. 32 (1972), 525-530 Request permission

Abstract:

For G an infinite compact group we show the existence and nonuniqueness of invariant means on the dual of the Fourier algebra. It follows that the space of weakly almost periodic functionals on the Fourier algebra is a proper closed subspace of the dual of the Fourier algebra.

References

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