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Dergiler / 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
Sayfa
759–764
Yayın Tarihi
2022-11-04
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Someimportant 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 spaceon 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 innerfunction, contrary to the one-variable case where every invariant subspace is generated by a single inner function.
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Sonuç & Katkı:Someimportant properties of invariant subspaces are also determined for singly generated invariant subspaces.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

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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Bu Makaleye Atıf Yap

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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Kaynakça (13)

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