Inhalt

[ 201FUANOPTU24 ] UE Operator theory

Versionsauswahl
Workload Education level Study areas Responsible person Hours per week Coordinating university
1,5 ECTS B3 - Bachelor's programme 3. year Mathematics N.N. 1 hpw Johannes Kepler University Linz
Detailed information
Original study plan Bachelor's programme Technical Mathematics 2025W
Learning Outcomes
Competences
Proficient handling of compactness concepts in the norm, weak, and weak*-topology, fundamental understanding of Fredholm operators, compactness in L^1 and the Dunford-Pettis property.
Skills Knowledge
  • Separating convex sets in the weak and weak* topology
  • Proving continuity of operators with respect to weak/weak* topology
  • Familiarity with topological basics and compactness in the weak/weak* topology
  • Analyzing Fredholm operators
  • Identifying and characterizing compactness in L^1
Understanding compactness concepts and the continuity of operator with respect to the weak/weak* topology, familiarity with separation theorems, Introduction to Fredholm theory, Compactness in L^1.
Criteria for evaluation
Language English and French
Changing subject? No
Earlier variants They also cover the requirements of the curriculum (from - to)
TM1WKUEOPER: UE Operator theory (2003W-2024S)
On-site course
Maximum number of participants 25
Assignment procedure Direct assignment