NORMED VECTOR SPACES

    General information
    This course covers the subject, Normed Vector Spaces, and is intended to the third year students in
    mathematics Licence LMD.
    Its objective is to teach stydents the importance of the Banach space and the specificity
    of the Hilbert space as a class of normed spaces.
    it will present results specific to this space. It is divided into two chapters:
    Chapitre 1: Banach Spaces.
    Chapitre 2: Hilbert Spaces.
    Each chapter is completed by a series of exercises with solutions.
    Bibliography
    1-H. BRESIS, Functional Analysis, Theory and Applications.
    2-G. Lacombe, P. Massat, Fuctional Analysis. Corrected Exercises, DUNOD.
    3-F. Riesz, B. Sz Nagy, Lectures on Functional Analysis.
    4-Y. Sonntag, Topology and Functional Analysis, Lectures and exercises, Ellipses, 1997, Gauthier&Villars.
    Semestre : 5th
    Teaching unit: Fundamental
    Matière : Normed Vector Spaces
    VHS: 14 weeks (42 hours)
    Lectures: 1h30 + Tutorial: 1h30
    Credits : 5
    Weighting: 3
    Assessment method: Exam (60%) , continuous assessment(40%).
    Recommended prior Knowledge: Analysis 1, Analysis 2, Analysis 3 and Topology.