Course title  Functional Analysis II 

Course code  MU/02026 
Organizational form of instruction  Not filled in + Not filled in 
Level of course  Bachelor 
Year of study  not specified 
Semester  Summer 
Number of ECTS credits  6 
Language of instruction  Czech 
Status of course  Compulsory, Compulsoryoptional 
Form of instruction  Facetoface 
Work placements  This is not an internship 
Recommended optional programme components  None 
Course availability  The course is available to visiting students 
Lecturer(s) 


Course content 
1. Duality theory (duality in Hausdorff locally convex spaces, weak and weakened topologies). 2. Convex analysis in locally convex topological vector spaces (basic operators of convex analysis, Duality theorem, theorem on weak compactness of polars and subdiferentials, AlaogluBourbaki theorem). 3. Applications to normed spaces (dual normed spaces, Banach theorem on the normpreserving extension, reflexive spaces). 4. Hilbert spaces (theorem on orthogonal projection and its corollaries, Hilbert basis).

Learning activities and teaching methods 
unspecified 
Recommended literature 

Study plans that include the course 
Faculty  Study plan (Version)  Branch of study Category  Recommended year of study  Recommended semester 

Mathematical Institute in Opava  Mathematics (2014IVT)  Mathematics courses  3  Summer 
Mathematical Institute in Opava  Mathematics (2014F)  Mathematics courses  3  Summer 
Mathematical Institute in Opava  Mathematical Methods in Economics (2)  Economy  3  Summer 
Mathematical Institute in Opava  Mathematical Analysis (1IVT)  Mathematics courses  3  Summer 
Mathematical Institute in Opava  Mathematics (2F)  Mathematics courses  3  Summer 
Mathematical Institute in Opava  Mathematics (1IVT)  Mathematics courses  3  Summer 
Mathematical Institute in Opava  Applied Mathematics (2014IVT)  Mathematics courses  3  Summer 
Mathematical Institute in Opava  Applied Mathematics in Risk Management (3)  Mathematics courses  3  Summer 
Mathematical Institute in Opava  Applied Mathematics (2014F)  Mathematics courses  3  Summer 
Mathematical Institute in Opava  Mathematical Methods in Economics (3)  Economy  3  Summer 