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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A note on weakly mixing functions
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by S. Glasner PDF
Proc. Amer. Math. Soc. 78 (1980), 124-126 Request permission

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 $\mathcal {B}$.
References
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Additional Information
  • © Copyright 1980 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 78 (1980), 124-126
  • MSC: Primary 54H20; Secondary 28D05
  • DOI: https://doi.org/10.1090/S0002-9939-1980-0548098-1
  • MathSciNet review: 548098