Generalized b-weakly compact operators and their factorization through KR-spaces
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866911490250899456 |
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| author | Machrafi, Nabil Altin, Birol |
| author_facet | Machrafi, Nabil Altin, Birol |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_05733 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Generalized b-weakly compact operators and their factorization through KR-spaces Machrafi, Nabil Altin, Birol Functional Analysis 46A40, 46B42, 47B60 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. |
| title | Generalized b-weakly compact operators and their factorization through KR-spaces |
| topic | Functional Analysis 46A40, 46B42, 47B60 |
| url | https://arxiv.org/abs/2603.05733 |