MATH497 HILBERT SPACE TECHNIQUES
| Course Code: |
2360497 |
| METU Credit (Theoretical-Laboratory hours/week): |
3(3-0) |
| ECTS Credit: |
6.0 |
| Department: |
Mathematics |
| Language of Instruction: |
English |
| Level of Study: |
Undergraduate |
| Course Coordinator: |
Assoc.Prof.Dr. KOSTYANTYN ZHELTUKHIN |
| Offered Semester: |
Fall Semesters. |
| Prerequisite: |
Set 1: 2360262
, 2360349 |
| The course set above should be completed before taking
MATH497 HILBERT SPACE TECHNIQUES. |
Course Content
Inner product spaces. Examples of inner product spaces; Hilbert spaces (definition and examples); convergence in Hilbert spaces; orthogonal complements and the projection theorem; linear functionals and the Riesz representation theorem; applications to various branches of Mathematics.
