A Blaschke sequence that is not a zero set for ℓ^{𝑝}_{𝐴}-Reference-Cited by-同舟云学术

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

Published:2019-06-10 Issue:9 Volume:147 Page:3927-3936
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Cheng Raymond,Dragas James

Abstract

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

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2019-147-09/S0002-9939-2019-14548-2/S0002-9939-2019-14548-2.pdf

Reference18 articles.

1. Beurling’s theorem for the Bergman space;Aleman, A.;Acta Math.,1996

2. On Birkhoff orthogonality and isosceles orthogonality in normed linear spaces;Alonso, Javier;Aequationes Math.,2012

3. Notas de Matem\'{a}tica [Mathematical Notes];Beauzamy, Bernard,1982

4. Remarks on inner functions and optimal approximants;Bénéteau, Catherine;Canad. Math. Bull.,2018

5. London Mathematical Society Student Texts;Carothers, N. L.,2005

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The zero sets of ℓAp are nested;Illinois Journal of Mathematics;2019-12-01

2. On the failure of canonical factorization in ℓAp;Journal of Mathematical Analysis and Applications;2019-11

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