| Code |
Course Name |
Language |
Type |
| MAT 428 |
Functional Analysis |
Turkish |
Elective |
| Local Credits |
ECTS |
Theoretical |
Tutorial |
Laboratory |
| 3 |
6 |
3 |
0 |
0 |
| Course Prerequisites and Class Restriction |
| Prerequisites |
MAT 272 MIN DD
or MAT 272E MIN DD
or MAT 288 MIN DD
or MAT 288E MIN DD
|
| Class Restriction |
None |
| Course Description |
| Linear and normed spaces. Linear operators and bounded linear operators. Linear functionals. Dual space. Hilbert spaces. The
system of orthonormal and exact vectors. Bessel’s inequality. Parseval’s identity. Hilbert adjoint operator and self-adjoint, unitary
and normal operators. HahnBanach Theorems. First and second category sets. The uniform boundedness principle. Strong and
weak convergence. Open mapping theorem. Closed graph theorem. |
|
