Funktionalanalysis 1 (Functional Analysis 1) - Einzelansicht

Beside an introduction of basic notions and theorems in the area of functional analysis in Banach- and Hilbertspaces (as the Hahn-Banach-Theorem and Banach-Steinhaus-Theorem), the results and methods will be considered and amplified concerning the application to probability and stochastic processes. This aspect will be analyzed more deeply in the following term.

The lecture is part of the profiles ''Mathematical modelling and data analysi'' and ''Structures of Mathematics with physical background'' in the course of studies Master of Science Mathematics

The lecture adresses to students of mathematics and physics. It is appropriate for Master students or for advanced Bachelor students.

• D. Werner, Funktionalanalysis, ISBN 978-3-662-55406-7, 2000 
  https://link.springer.com/book/10.1007/978-3-662-55407-4
• M. Reed, B. Simon, Methods of Modern Mathematical Physics, Vol. 1, 1980
  https://www.elsevier.com/books-and-journals/book-series/methods-of-modern-mathematical-physics
• M. Einsiedler, T. Ward, Functional Analysis, Spectral Theory, and Applications, ISBN 978-3-319-58539-0, 2017
  https://link.springer.com/book/10.1007/978-3-319-58540-6 
• J. B. Conway, A Course in Functional Analaysis, ISBN 978-1-4757-3828-5, 1985
  https://link.springer.com/book/10.1007/978-1-4757-3828-5
• W. Rudin, Functional Analysis, McGraw-Hill, 1991

Informations and exercise sheets are available on the Moodle course in Functional Analysis. In order to hand in your solutions and to qoalify for the exam, you have to register on that course.

Exercise Sheets and oral exam