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arXiv · 1403.0720

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

Jun-ichi Tanaka
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Abstract

In the almost periodic context, any $H_0^2-$space cannot be generated by one of its elements. Together with cocycle argument, this derives that there exist all kinds of invariant subspaces without single generator, from which we can answer some questions on invariant subspace theory.

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Jun-ichi Tanaka. 2014-03-04. Invariant subspaces with no generator and a problem of H. Helson. https://arxiv.org/abs/1403.0720

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