The course illustrates the use of Functional Analysis and discusses various of its main statements.

The course is based on the book "Functional Analysis" by Walter Rudin.

Understanding advanced topics from Functional Analysis. Around topics such as:

• Uniform approximation of functions
• Linear separation of convex sets in infinite dimensional spaces as well as linear functional extension
• Fundamental theorems for linear operators between spaces
• Hilbert spaces and properties
• Evolution equations

Full attendance is compulsory. This means that students should attend at least 80% of all lectures, at most one lecture can be missed.

• Participation and discussion during the course
• Communication between participants about the course material
• Self-study of the course material

Assesment is splitted into three parts:

1. Participation during the course 30%
2. Group performance during selected tasks 40%
3. Individual performance during an exam 30%

Please log in with your WU account to use all functionalities of read!t. For off-campus access to our licensed electronic resources, remember to activate your VPN connection connection. In case you encounter any technical problems or have questions regarding read!t, please feel free to contact the library at readinglists@wu.ac.at.