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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
Some important properties of invariant subspaces are also determined for singly generated invariant subspaces.
📌 3 Maddede Bu Makale
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Amaç & Hipotez: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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Temel Bulgular & Veri: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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Sonuç & Katkı:Some important properties of invariant subspaces are also determined for singly generated invariant subspaces.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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.
Anahtar kelimeler
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Bu Makaleye Atıf Yap
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