Browsing by Author "Maadani Mustapha"

Now showing 1 - 1 of 1
  • No Thumbnail Available
    Item
    On some classes of operators in Hilbert space and a semi-Hilbertian space
    (2026-04-12) Maadani Mustapha
    Abstract: The aim of this thesis is to introduce new classes of interaction operators, and to apply these classes to two fundamental theorems in functional analysis. The content of this work is also divided into two parts: the first part is devoted to operators defined on a Hilbert space, while the second part focuses on operators defined on a semi-Hilbertian space, which includes a positive operator. We conclude this thesis by providing examples and counterexamples illustrating the obtained results.