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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Some important properties of invariant subspaces are also determined for singly generated invariant subspaces.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper, we give a complete characterization of singly generated invariant subspaces in the Hardy space on 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 inner function, contrary to the one-variable case where every invariant subspace is generated by a single inner function.
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Conclusion & Impact:Some important properties of invariant subspaces are also determined for singly generated invariant subspaces.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Invariant subspace · Hardy space · ball
Abstract
In this paper, we give a complete characterization of singly generated invariant subspaces in the Hardy space on the unit ball. Then we construct a singly generated invariant subspace that cannot be generated by a single inner function, contrary to the one-variable case where every invariant subspace is generated by a single inner function. Some important properties of invariant subspaces are also determined for singly generated invariant subspaces.
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Cite This Article
KOCA, B. B., SADIK, N. (2019). 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/185609