English

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

Functional Analysis 2026-03-09 v1

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.

Cite

@article{arxiv.2603.05733,
  title  = {Generalized b-weakly compact operators and their factorization through KR-spaces},
  author = {Nabil Machrafi and Birol Altin},
  journal= {arXiv preprint arXiv:2603.05733},
  year   = {2026}
}

Comments

15 pages

R2 v1 2026-07-01T11:05:51.193Z