A note on weakly mixing functions

Glasner, S.

doi:10.1090/S0002-9939-1980-0548098-1

A note on weakly mixing functions
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by S. Glasner

Proc. Amer. Math. Soc. 78 (1980), 124-126

DOI: https://doi.org/10.1090/S0002-9939-1980-0548098-1

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Abstract:

Every almost periodic function is the uniform limit of polynomials of weakly mixing functions. If $\mathcal {B}$ and $\mathcal {F}$ are uniformly closed translation invariant algebras of purely weakly mixing functions and almost periodic functions respectively, and $\mathcal {A}$ is the algebra generated by $\mathcal {B}$ and $\mathcal {F}$, then every weakly mixing function in $\mathcal {A}$ belongs to $\mathcal {B}$.

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