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27334-01 - Main lecture: Functional Analysis (6 CP)
| Semester | spring semester 2019 |
| Further events belonging to these CP |
27334-02 (Practical course) 27334-01 (Main lecture) |
| Course frequency | Irregular |
| Lecturers | Jérémy Vithya Sok (jeremyvithya.sok@unibas.ch, Assessor) |
| Content | Hahn-Banach theorems, convexity, uniform boundedness principle, closed graph theorem, weak topologies, reflexive and separable spaces, uniform convexity, Lebesgue spaces, Hilbert spaces, compact operators, spectral theory. |
| Learning objectives | Understanding the theory of functional analysis, ability to solve standard and less standard exercises in functional analysis, understanding the connections with partial differential equations. |
| Bibliography | Haim Brezis, "Functional Analysis, Sobolev Spaces and Partial Differential Equations", Springer Universitext. |
| Admission requirements | Lineare Algebra I&II, Analysis I&II, Reelle Analysis |
| Course application | Via MOnA |
| Language of instruction | English |
| Use of digital media | No specific media used |
| Course auditors welcome |
| Interval | Weekday | Time | Room |
|---|
No dates available. Please contact the lecturer.
| Modules |
Module: Analysis and Geometry (Bachelor's Studies: Mathematics) Module: Specialisation in Mathematics (Bachelor's Studies: Computational Sciences) |
| Assessment format | exam |
| Assessment details | -- Work in a substantial way on 3/4 of the weekly series -- Active participation to lectures and exercise sessions -- Pass a written exam to be held at the end of the course |
| Assessment registration/deregistration | Reg.: in 'course reg.'; dereg.: Dean of Std. Off. in writing |
| Repeat examination | one repetition, best attempt counts |
| Scale | 1-6 0,5 |
| Repeated registration | no repetition |
| Responsible faculty | Faculty of Science, studiendekanat-philnat@unibas.ch |
| Offered by | Fachbereich Mathematik |