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Journals / Muş Alparslan Üniversitesi Fen Bilimleri Dergisi / 2026 / Cilt: 8 Sayı: 1

Hahn-Banach Theorem for Operators on Lattice Normed Riesz Algebras

Kafes Normlu Riesz Cebirleri Üzerindeki Operatörler İçin Hahn-Banach Teoremi

Abdullah Aydın(Muş Alparslan Üniversitesi-Muş)0000-0002-0769-5752
Pages
737–741
Publication Date
2020-06-01
DOI
—
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AI Summary & Key Takeaways

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

In addition, we give some applications and results.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Let X and E be Riesz algebras and p:X →E_+ be a monotone vector norm.
📊
Key Findings & Data:Then the triple (X,p,E) is called lattice normed Riesz algebra.
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Conclusion & Impact:In addition, we give some applications and results.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Hahn-Banach theoremi · Kafes normlu uzaylar · Riesz cebirleri

Abstract

Let X and E be Riesz algebras and p:X →E_+ be a monotone vector norm. Then the triple (X,p,E) is called lattice normed Riesz algebra. In this paper, we prove a generalization of the extension of the Hahn-Banach theorem for operators on the lattice normed Riesz algebras, in which the extension of one-step of that is not similar to the other Hahn-Banach theorems. In addition, we give some applications and results.

Özet

X ve E Riesz cebirleri ve p:X →E_+ monoton bir vektör normu olsun. Böylece (X,p,E) üçlüsü kafes normlu Riesz cebiri olarak adlandırılır. Bu çalışmada, Hahn-Banach teoreminin kafes normlu Riesz cebirlerindeki operatörler için genişletilmesini vereceğiz. Fakat bu çalışmadaki genişleme diğer Hahn-Banach teoremlerinden farlı olmaktadır. Ayrıca bu genişlemenin bazı sonuçlarının olduğunu göstermeketeyiz.

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Cite This Article

Aydın, A. (2020). Hahn-Banach Theorem for Operators on Lattice Normed Riesz Algebras. Muş Alparslan Üniversitesi Fen Bilimleri Dergisi, Cilt: 8 Sayı: 1, 737–741. https://ajindex.com/articles/1531233

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