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arXiv · 2603.05733

Generalized b-weakly compact operators and their factorization through KR-spaces

Nabil Machrafi·Birol Altin
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Abstract

We investigate more closely the class of generalized b-weakly compact operators on locally convex-solid Riesz spaces and we provide new sequential and operator characterizations in relation with the subject. We introduce explicitly the so-called KR-spaces in order to study the factorization problem for generalized b-weakly compact operators by analogy with the well-known factorization of b-weakly compact operators through KB-spaces.

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Nabil Machrafi, Birol Altin. 2026-03-05. Generalized b-weakly compact operators and their factorization through KR-spaces. https://arxiv.org/abs/2603.05733

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