Functional Analysis

I made a strong foundation for my mathematical analysis through this course together with “Real Analysis and Measure Theory”. In the first part of the course we learned “Banach Spaces” , “Strong, Weak and Weak* Topologies”.

After that, we went through three important theorems which were “Hahn-Banach, Open Mapping and Closed Graph” Theorems. Hilbert spaces was the next topic we covered and at the end we covered two important theorems “Spectral Theory of Bounded Operators” and “Theory of Distributions”.