| Course title | Functional analysis II |
|---|---|
| Course code | KMA/P527 |
| Organizational form of instruction | Lecture |
| Level of course | Bachelor |
| Year of study | not specified |
| Semester | Summer |
| Number of ECTS credits | 4 |
| Language of instruction | Czech |
| Status of course | unspecified |
| Form of instruction | Face-to-face |
| Work placements | This is not an internship |
| Recommended optional programme components | None |
| Lecturer(s) |
|---|
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| Course content |
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1. Topological linear spaces 2. Properties pf TLS 3. Examples of TLS 4. Convex sets and Minkowski functionals 5. Locally convex spaces and their generation by means of norms 6. Compaktness and extremal points 7. Functionals and dual spaces 8. Examples of dualities 9. Weak and strong topologies 10. Duality and reflexivity 11. Dual operators 12. Adjoint operators
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| Learning activities and teaching methods |
| unspecified |
| Learning outcomes |
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Topological linear spaces, locally convex spaces, function spaces, dual spaces, weak topologies, duality and reflexivity, theorems on fixed points and their applications.
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| Prerequisites |
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Teaching in English is meant only for erasmus and foreign students. In the case of a small number of students is teaching in a form of individual consultations.
KMA/P425 |
| Assessment methods and criteria |
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unspecified
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| Recommended literature |
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| Study plans that include the course |
| Faculty | Study plan (Version) | Category of Branch/Specialization | Recommended semester |
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