MATH497 HILBERT SPACE TECHNIQUES

Course Code:2360497
METU Credit (Theoretical-Laboratory hours/week):3 (3.00 - 0.00)
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.

Course Objectives


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.


Course Learning Outcomes