Invariant subspaces with no generator and a problem of H. Helson

Junichi Tanaka

Invariant subspaces with no generator and a problem of H. Helson

Junichi Tanaka^*

^*Corresponding author for this work

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

Abstract

In the almost-periodic context, the H₀ ²-space cannot be generated by one of its elements. Together with a cocycle argument, this implies that there exist all kinds of invariant subspaces without a single generator, from which we answer some questions on invariant subspace theory.

Original language	English
Pages (from-to)	1469-1491
Number of pages	23
Journal	Annales de l'Institut Fourier
Volume	65
Issue number	4
Publication status	Published - 2015

Keywords

Cocycles
Compact groups with ordered duals
Invariant subspaces
Single generators

ASJC Scopus subject areas

Algebra and Number Theory
Geometry and Topology

Cite this

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Invariant subspaces with no generator and a problem of H. Helson

Abstract

Keywords

ASJC Scopus subject areas

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