### Abstract

In the almost periodic context, Helson showed that there exists a unitary function in every simply invariant subspace. We provide a short proof of this result in more general setting and give some applications.

Original language | English |
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Pages (from-to) | 87-90 |

Number of pages | 4 |

Journal | Proceedings of the American Mathematical Society |

Volume | 69 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1978 |

Externally published | Yes |

### Keywords

- Distant future
- Ergodic measure
- Invariant subspace
- Outer function
- Weak-* dirichlet algebra

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

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## Cite this

Tanaka, J. (1978). A note on helson's existence theorem.

*Proceedings of the American Mathematical Society*,*69*(1), 87-90. https://doi.org/10.1090/S0002-9939-1978-0482594-1