Aperçu des sections

  • Généralités

  • Normed Vector Spaces

    Functional Analysis studies the functions, as elements of certain spaces, called functional. It
    has been developed based mainly on the study of normed vector spaces; and, more particularly,
    complete normed vector spaces (Banach spaces). The benefit of having complete normed
    spaces is that we have properties of existence within them: for any sequence of Cauchy, there
    is an element which is its limit. This course is aimed to 3rd year mathematics students, during
    semester 5. It requires a good knowledge of general Topology. Having some knowledge of
    complex variable functions, integrals, series, linear algebra,..etc. will also be useful.

    Semestre :     S5 

    Credit: 5          Coefficent: 3

    Unité d’Enseignement :  Fondamentale, UEF5.1.2.   

    Volume horaire d’enseignement hebdomadaire:

    ·        Cours :  1h30   h

    ·        Travaux Dirigés : 1h30 h


    Dr: Rakia Ahmed-Yahia




    • Banach spaces

      • Banach Spaces Fichier 189.4Ko Document PDF Déposé le 1 oct. 24, 07:12

        In this chapter, we will give some generalities about abstract normed spaces, with examples,
        and we will treat the case of finite-dimensional spaces. Some topological notions are added
        in order to simplify comprehension and resolution of exercises in fifth and sixth semesters.
        This will also be an opportunity to set certain notations.

    • Espaces vectoriels normés