- Docente: Davide Guidetti
- Credits: 6
- SSD: MAT/05
- Language: Italian
- Teaching Mode: Traditional lectures
- Campus: Bologna
- Corso: First cycle degree programme (L) in Mathematics (cod. 8010)
Learning outcomes
At the end of the course, the student should have acquired the basic competences of functional analysis and of the theory of bounded and linear operators.
Course contents
Abstract theiry of measure and integration. Metric spaces. Normed spaces. Hilbert spaces. Orthonormal systems. Fourier series. Basic spectral theory. The theorems of approximation of Weierstrass and Stone. The theorems of the open mapping, Banach-Steinhaus and Hahn-Banach.
Readings/Bibliography
W. Rudin, "Real and c omplex analysis", K. Saxe, "Beginning functional analysis", H. Brezis "Functional analysis".
Teaching methods
Front lectures
Assessment methods
Oral examination
Teaching tools
Blackboard
Office hours
See the website of Davide Guidetti