Academic Catalog

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: 2360349
Set 2: 2360272
One of the sets 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.