MA-450 Functional Analysis
- ECTS Credits:
- 10
- Responsible department:
- Faculty of Engineering and Science
- Course Leader:
- Nils Mikael Signal
- Lecture Semester:
- Spring
- Teaching language:
- Norwegian or English
- Duration:
- 1 term
The course is connected to the following study programs
Teaching language
Norwegian or EnglishRecommended prerequisites
Topology and Measure Theory
Course contents
Banach space, Hölder’s inequality, Minkowski’s inequality, Classical Banach spaces, Operators on Banach spaces, Quotient spaces, Hahn-Banach theorems, Dual Banach spaces, The Open Mapping Theorem, The Closed Graph Theorem, The Banach-Steinhaus Theorem, The bidual of a Banach space, reflexive Banach spaces
Learning outcomes
After successful completion of the course the student is able to
-
explain and apply key concepts from Banach space theory.
-
give an account of important results and connections between concepts in this theory.
-
apply the most common methods in Banach space theory and justify why these methods work.
-
deduce and justify results in Banach space theory.
Examination requirements
Approved compulsory hand-ins. See Canvas for more information.
Teaching methods
Lectures, group work, and compulsory hand-ins. Estimated workload of the course is 267 hours.
Evaluation
The person responsible for the course decides, in cooperation with student representative, the form of student evaluation and whether the course is to have a midway or end of course evaluation in accordance with the quality system for education, chapter 4.1.
Assessment methods and criteria
Individual oral exam. Graded assessment.