Functional Analysis ( 2014 / 15 )

These lecture notes are based on my course from winter semester 2014/15. Compared to the notes from three years ago, several details and very few subjects have been changed. I mostly kept the contents of the results discussed in the lectures, but the numbering has been shifted in some parts. Typically, the proofs and calculations in the notes are a bit shorter than those given in class. Moreover, the drawings and many additional, mostly oral remarks from the lectures are omitted here. On the other hand, in the notes I have added a few results (e.g., the Riesz–Thorin theorem) and a couple of proofs for peripheral statements not presented during the course.