Module: FUNCTIONAL CALCULATION AND FREDHOLM\'S THEORY
- Information
- Questions
- E-Learning
Lecturer |
Nabila BARROUK
|
Information |
Master - Applied Mathematics
Department of Mathematics
Website : https://www.univ-soukahras.dz/en/module/945
Semester : S2
Unit : UEM2
Credit : 6
Coefficient: 3 |
Content |
1. Preliminaries, adjoint and conjugate operators, differential and adjoint operator.
2. Functional calculation of unbounded operators. Introduction to functional calculus, Riesz projections and finite type eigenvalues, distribution of the spectrum at infinity, disturbance theorems.
3. Unbounded Fredholm operators and disturbance theorems, The norm of the graph, Fredholm operators and essential spectrum, Atkinson theorem, additive disturbances. |
Evaluation |
10-point micro-interrogation
Participation 03 points
Attendance 02 points
duty 05 points |