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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
We show that a continuous operators R from a Banach lattice N into a Banach space M is a b-weakly compact operator if and only if R is a KB-operator.
📌 3 Key Takeaways
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Objective & Hypothesis:Our aim is to solve the problem asked by Bahramnezhad and Azar in "KB-operators on Banach lattices and their relationships with Dunford-Pettis and order weakly compact operators".
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Key Findings & Data:Our aim is to solve the problem asked by Bahramnezhad and Azar in "KB-operators on Banach lattices and their relationships with Dunford-Pettis and order weakly compact operators".
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Conclusion & Impact:We show that a continuous operators R from a Banach lattice N into a Banach space M is a b-weakly compact operator if and only if R is a KB-operator.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:b-weakly compact operator · KB-operator
Abstract
Our aim is to solve the problem asked by Bahramnezhad and Azar in "KB-operators on Banach lattices and their relationships with Dunford-Pettis and order weakly compact operators". We show that a continuous operators R from a Banach lattice N into a Banach space M is a b-weakly compact operator if and only if R is a KB-operator.
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Cite This Article
TURAN, B., ALTIN, B. (2019). The relation between b-weakly compact operator and KB-operator. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 6, 2818–2820. https://ajindex.com/articles/198156