Some lipschitz operator classes and their properties

In this thesis, the classes of Lipschitz operators associated with the concepts of weakly p-compact and unconditionally p-compact sets are studied. The thesis consists of five chapters. In the first chapter, the source research on the subject, the aim and method of the thesis are given. In the second chapter, the basic concepts that will be used throughout the study and that form the basis of the thesis are given. In the third chapter, some classes of Lipschitz operators associated with compact and p-compact sets and some results existing in the literature on these classes are given. At the same time, the concepts of majorization for bounded linear operators and Lipschitz operators and some results existing in the literature on these concepts are given. In the fourth chapter, the results given in the third chapter are considered for weakly p-compact and unconditionally p-compact sets, and some results are obtained, and these results obtained are associated with the majorization concepts. In the fifth chapter, the results obtained from this study and recommendations are given.