Information Package / Course Catalogue
| Course Code | : MTK613 |
| Course Type | : Area Elective |
| Couse Group | : Third Cycle (Doctorate Degree) |
| Education Language | : Turkish |
| Work Placement | : N/A |
| Theory | : 3 |
| Prt. | : 0 |
| Credit | : 3 |
| Lab | : 0 |
| ECTS | : 8 |
The purpose of this course is to introduce the concept of amenability in various algebraic structures and to establish the relation between them with the help of related theorems.
Properties and examples of amenable locally compact groups, amenable semigroups, definition of Banach algebra and examples, concept of module of Banach algebras, concept of derivation of Banach modules, Hochschild cohomology, definition of amenable Banach algebras, Johnson’s theorem, virtual diagonal and approximate diagonal, examples of amenable Banach algebras, hereditary properties of amenable Banach algebras, various notions of amenability in Banach algebras.
| 1. | Ability to learn the properties of amenable locally compact groups. |
| 2. | Ability to understand the concept of derivation on Banach algebras. |
| 3. | Ability to understand the definition and basic theorems of amenable Banach algebras. |
| 4. | Ability to learn various notions of amenability in Banach algebras. |
| 5. | Ability to understand the concept of module on Banach algebras. |
| 1. | Banach Algebras and Automatic Continuity, H. Garth Dales, London Mathematical Society Monographs New Series, H. Garth Dales, 2000. |
| 2. | Lectures on Amenability, Runde, V., Springer-Verlag, 2002. |
| Type of Assessment | Count | Percent |
|---|---|---|
| Assignment | 1 | %5 |
| Term Assignment | 1 | %5 |
| Midterm Examination | 1 | %20 |
| Final Examination | 1 | %70 |
| Activities | Count | Preparation | Time | Total Work Load (hours) |
|---|---|---|---|---|
| Lecture - Theory | 14 | 0 | 3 | 42 |
| Assignment | 1 | 0 | 6 | 6 |
| Term Project | 1 | 0 | 6 | 6 |
| Individual Work | 14 | 0 | 5 | 70 |
| Midterm Examination | 1 | 30 | 2 | 32 |
| Final Examination | 1 | 42 | 2 | 44 |
| TOTAL WORKLOAD (hours) | 200 | |||
PÇ-1 | PÇ-2 | PÇ-3 | PÇ-4 | PÇ-5 | PÇ-6 | PÇ-7 | PÇ-8 | PÇ-9 | PÇ-10 | PÇ-11 | PÇ-12 | PÇ-13 | PÇ-14 | PÇ-15 | |
OÇ-1 | 4 | 4 | 4 | 3 | 3 | 4 | 3 | 3 | 3 | ||||||
OÇ-2 | 5 | 4 | 5 | 5 | 4 | 4 | 4 | 3 | 3 | ||||||
OÇ-3 | 5 | 5 | 4 | 5 | 4 | 5 | 4 | 4 | 3 | ||||||
OÇ-4 | 5 | 5 | 5 | 5 | 4 | 5 | 4 | 4 | 3 | ||||||
OÇ-5 | 4 | 5 | 4 | 5 | 5 | 4 | 4 | 4 | 3 | ||||||