Information Package / Course Catalogue
| Course Code | : MTK517 |
| Course Type | : Area Elective |
| Couse Group | : Second Cycle (Master's Degree) |
| Education Language | : Turkish |
| Work Placement | : N/A |
| Theory | : 3 |
| Prt. | : 0 |
| Credit | : 3 |
| Lab | : 0 |
| ECTS | : 8 |
The course aim to construct a base for future working on this topic by giving the basic definition and theorems of Banach algebras.
The definition and examples of Banach algebras, the spectrum of an element, the concept of an ideal, maximal ideal and homomorphism, quotient Banach algebras, Jacobson radical, commutative Banach algebras and Gelfand Theory.
| Lec. Berna ARSLAN |
| 1. | Ability to understand the concept of Banach algebra, its basic properties and ability to recognize some examples of Banach algebras. |
| 2. | Ability to understand ideals, maximal ideals on Banach algebras and their basic properties. |
| 3. | Ability to understand the basic properties of Gelfand Theory on commutative Banach algebras. |
| 4. | Ability to understand the concept of homomorphisms on Banach algebras. |
| 5. | To be able to use tensor products of Banach algebras. |
| 1. | Complete Normed Algebras, F.F. Bonsall, J. Duncan, Springer-Verlag, New York, 1973. |
| 2. | Introduction to Banach algebras, operators, and harmonic analysis, H.G. Dales, P. Aiena, J. Eschmeier, K. Laursen, G.A. Willis, Cambridge Univ. Press, New York, 2003. |
| 3. | Banach Algebras and Automatic Continuity, H. Garth Dales, London Mathematical Society Monographs New Series, H. Garth Dales, 2000. |
| Type of Assessment | Count | Percent |
|---|---|---|
| Final Examination | 1 | %70 |
| Assignment | 2 | %30 |
| Activities | Count | Preparation | Time | Total Work Load (hours) |
|---|---|---|---|---|
| Lecture - Theory | 14 | 3 | 3 | 84 |
| Assignment | 2 | 16 | 2 | 36 |
| Individual Work | 14 | 0 | 2 | 28 |
| Final Examination | 1 | 50 | 2 | 52 |
| 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 | 5 | 3 | 2 | 4 | 3 | 4 | |||||||
OÇ-2 | 4 | 4 | 4 | 4 | 4 | 4 | 3 | 3 | 4 | 4 | |||||
OÇ-3 | 5 | 5 | 5 | 5 | 5 | 5 | 3 | 3 | 4 | 4 | |||||
OÇ-4 | 3 | 4 | 3 | 5 | 4 | 4 | 3 | 3 | 4 | 4 | |||||
OÇ-5 | 4 | 4 | 5 | 4 | 4 | 3 | 3 | 3 | 4 | 4 | |||||