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Journals / Turkish Journal of Mathematics / 2019 / Cilt: 43 - Sayı: 6

Unbounded absolutely weak Dunford–Pettis operators

Nazife ERKURŞUN ÖZCAN
Niyazi Anıl GEZER
Omid ZABETI
Pages
2731–2740
Publication Date
2022-11-05
DOI
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AI Summary & Key Takeaways

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

Manyexamples are given to illustrate the essential conditions.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In the present article, we expose various properties of unbounded absolutely weak Dunford–Pettis andunbounded absolutely weak compact operators on a Banach lattice E.
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Key Findings & Data:In addition to their topological and latticeproperties, we investigate relationships between M-weakly compact operators, L-weakly compact operators, and orderweakly compact operators with unbounded absolutely weak Dunford–Pettis operators.
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Conclusion & Impact:Manyexamples are given to illustrate the essential conditions.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In the present article, we expose various properties of unbounded absolutely weak Dunford–Pettis andunbounded absolutely weak compact operators on a Banach lattice E. In addition to their topological and latticeproperties, we investigate relationships between M-weakly compact operators, L-weakly compact operators, and orderweakly compact operators with unbounded absolutely weak Dunford–Pettis operators. We show that the square of anypositive uaw-Dunford–Pettis (M-weakly compact) operator on an order continuous Banach lattice is compact. Manyexamples are given to illustrate the essential conditions.

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Cite This Article

ÖZCAN, N. E., GEZER, N. A., ZABETI, O. (2022). Unbounded absolutely weak Dunford–Pettis operators. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 6, 2731–2740. https://ajindex.com/articles/607972

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