Some results on the Komlos sets and applications

Abstract

In this paper, we investigate more about relationships between the Komlos (resp. pre-Komlos)sets and other known sets. Also, some new characterizations of Komlos (resp. pre-Komlos) property areobtained. Furthermore, we introduce and study new classes of operators that we call Komlos (resp. pre-Komlos) operators, we give some characterizations of these classes of operators and we study the relationshipsbetween these classes and others classes of operators.