A note on helson's existence theorem

Junichi Tanaka

Research output: Contribution to journalArticle

4 Citations (Scopus)

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 languageEnglish
Pages (from-to)87-90
Number of pages4
JournalProceedings of the American Mathematical Society
Volume69
Issue number1
DOIs
Publication statusPublished - 1978
Externally publishedYes

Fingerprint

Almost Periodic
Invariant Subspace
Existence Theorem
Context

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

A note on helson's existence theorem. / Tanaka, Junichi.

In: Proceedings of the American Mathematical Society, Vol. 69, No. 1, 1978, p. 87-90.

Research output: Contribution to journalArticle

Tanaka, Junichi. / A note on helson's existence theorem. In: Proceedings of the American Mathematical Society. 1978 ; Vol. 69, No. 1. pp. 87-90.
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