A Blaschke sequence that is not a zero set for ℓ^{𝑝}_{𝐴}

Cheng, Raymond; Dragas, James

doi:10.1090/proc/14548

A Blaschke sequence that is not a zero set for $\ell ^p_A$
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by Raymond Cheng and James G. Dragas PDF

Proc. Amer. Math. Soc. 147 (2019), 3927-3936 Request permission

Abstract:

For $p$ in the range $1<p<2$, it is shown by construction that the nontrivial zero sets of $\ell ^p_A$ constitute a proper subset of the Blaschke sequences. The construction relies on a zero set criterion for $\ell ^p_A$ based on a related notion of inner function.

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