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arXiv · 2109.07184

Unbounded $M$-weakly and unbounded $L$-weakly compact operators

Zahra Niktab·Kazem Haghnejad Azar·Razi Alavizadeh·Saba Sadeghi Gavgani
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Abstract

We introduce the class of unbounded $M$-weakly operators and the class of unbounded $L$-weakly compact operators. We investigate some properties for these new classification of operators and we study relation between them and $M$-weakly compact and $L$-weakly compact operators. We also present an operator characterization of Banach lattices with order continuous norm. \keywords{unbounded $M$-weakly compact \and unbounded $L$-weakly compact \and unbounded norm convergence \and $M$-weakly compact \and $L$-weakly compact

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Zahra Niktab, Kazem Haghnejad Azar, Razi Alavizadeh, Saba Sadeghi Gavgani. 2021-09-15. Unbounded $M$-weakly and unbounded $L$-weakly compact operators. https://arxiv.org/abs/2109.07184

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