Some results on the Koml\`{o}s set and applications

Mohamed  Berka; Moulay othman Aboutafail; Pr. Jawad H'michane

doi:10.5269/bspm.64819

Some results on the Koml\`{o}s set and applications

Authors

M. Berka Ibn Tofail University https://orcid.org/0000-0002-7189-545X
M.O. Aboutafail Ibn Tofail University
Pr. Jawad H'michane https://orcid.org/0000-0001-5884-5266

DOI:

https://doi.org/10.5269/bspm.64819

Abstract

In this paper, we investigate more about relationships between the Koml\`{o}s (resp. pre-Koml\`{o}s) set and other known sets. Also, some new characterizations of Koml\`{o}s (resp. pre-Koml\`{o}s) property are obtained. Furthermore, we introduce and study new classes of operators that we call Koml\`{o}s (resp. pre-Koml\`{o}s) operators, we give some characterizations of these classes of operators and we study the relationships between these classes and others classes of operators.