The material from the course <<Functional Analysis>> will be actively used in this course, especially:
Lecture 6, Elements of Topology, HT N 3 (theoretical)
https://www.youtube.com/watch?v=mMcEPTKpFtM
Lecture 9a, Topological linear spaces, seminorms.
https://www.youtube.com/watch?v=2WqVvimZDmk
Lecture 9b, Topological linear spaces, seminorms,
continuous linear operators.
https://www.youtube.com/watch?v=1ZjvXAH5mqs
Functional Analysis, Lecture 11, Linear functionals, Hahn-Banach theorem.
https://www.youtube.com/watch?v=j4hk1ssC33k
Functional Analysis, Lecture 12, Bounded=continous linear functionals on normed spaces, conjugate (dual) space, second dual.
https://www.youtube.com/watch?v=rm26JBv-8ME
- Course Coordinator: Andrei Khrennikov