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: 2360262 , 2360349 Set 2: 2360262 , 2360313
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.