Prerequisite Courses:

Course Language:

English

Course Objectives:

Functional analysis, is a subject that has many applications. We can count the theory of differential equations and applications in physics among them.

Course Content:

Topological dual. Compact, closed and adjoint operators. Inner product spaces. Orthonormal sets and Fourier series. Linear operators on Hilbert spaces. Resolvent and spectrum of an operator. Spectra of continuous and compact linear operators. Spectral analysis on Hilbert spaces. Derivations of operators.

Course Methodology:

1: Lecture, 2: Problem Solving

Course Evaluation Methods:

A: Written examination, B: Homework