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Functional analysis 710


 
Module code WTW 710
Qualification Postgraduate
Faculty Faculty of Natural and Agricultural Sciences
Module content

An introduction to the basic mathematical objects of linear functional analysis will be presented. These include metric spaces, Hilbert spaces and Banach spaces. Subspaces, linear operators and functionals will be discussed in detail. The fundamental theorems for normed spaces: The Hahn-Banach theorem, Banach-Steinhaus theorem, open mapping theorem and closed graph theorem. Hilbert space theory: Riesz' theorem, the basics of projections and orthonormal sets.
Module credits 15.00
NQF Level 08
Prerequisites Real analysis on third-year level
Contact time 2 lectures per week
Language of tuition Module is presented in English
Department Mathematics and Applied Mathematics
Period of presentation Semester 1
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