A note on helson's existence theorem

Junichi Tanaka

doi:10.1090/S0002-9939-1978-0482594-1

A note on helson's existence theorem

Junichi Tanaka^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	87-90
Number of pages	4
Journal	Proceedings of the American Mathematical Society
Volume	69
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9939-1978-0482594-1
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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10.1090/S0002-9939-1978-0482594-1

Cite this

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title = "A note on helson's existence theorem",

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.",

keywords = "Distant future, Ergodic measure, Invariant subspace, Outer function, Weak-* dirichlet algebra",

author = "Junichi Tanaka",

year = "1978",

doi = "10.1090/S0002-9939-1978-0482594-1",

language = "English",

volume = "69",

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journal = "Proceedings of the American Mathematical Society",

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AU - Tanaka, Junichi

PY - 1978

Y1 - 1978

N2 - 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.

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KW - Distant future

KW - Ergodic measure

KW - Invariant subspace

KW - Outer function

KW - Weak- dirichlet algebra

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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A note on helson's existence theorem

Abstract

Keywords

ASJC Scopus subject areas

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