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Journals / Turkish Journal of Mathematics / 2019 / Cilt: 43 - Sayı: 2

Singly generated invariant subspaces in the Hardy space on the unit ball

Nazım SADIK
Beyaz Başak KOCA
Pages
759–764
Publication Date
2022-11-04
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Someimportant properties of invariant subspaces are also determined for singly generated invariant subspaces.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we give a complete characterization of singly generated invariant subspaces in the Hardy spaceon the unit ball.
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Key Findings & Data:Then we construct a singly generated invariant subspace that cannot be generated by a single innerfunction, contrary to the one-variable case where every invariant subspace is generated by a single inner function.
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Conclusion & Impact:Someimportant properties of invariant subspaces are also determined for singly generated invariant subspaces.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, we give a complete characterization of singly generated invariant subspaces in the Hardy spaceon the unit ball. Then we construct a singly generated invariant subspace that cannot be generated by a single innerfunction, contrary to the one-variable case where every invariant subspace is generated by a single inner function. Someimportant properties of invariant subspaces are also determined for singly generated invariant subspaces.

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Cite This Article

SADIK, N., KOCA, B. B. (2022). Singly generated invariant subspaces in the Hardy space on the unit ball. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 2, 759–764. https://ajindex.com/articles/607612

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