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| 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.
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| 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
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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.
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| Criteria for evaluation |
(*)mündliche Prüfung am Ende des Semesters
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| Language |
English and French |
| Study material |
(*)Carothers, "A Short Course on Banach Space Theory"
Albiac, Kalton "Topics in Banach space theory"
Dunford, Schwartz "Linear operators. Part I"
Lang, "Real and functional analysis"
Munkres, J.R. "Topology"
Werner, "Funktionalanalysis"
Wojtaszczyk "Banach spaces for analysts"
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| Changing subject? |
No |
| Earlier variants |
They also cover the requirements of the curriculum (from - to)
TM1WKVOOPER: VO Operator theory (2002W-2024S)
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