Academic Catalog

MATH452 INTRODUCTION TO FUNCTIONAL ANALYSIS

Course Code:	2360452
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:	Prof.Dr. EDUARD EMELYANOV
Offered Semester:	Fall Semesters.
Prerequisite:	Set 1: 2360262 , 2360349 Set 2: 2360262 , 2360313
One of the sets above should be completed before taking MATH452 INTRODUCTION TO FUNCTIONAL ANALYSIS.

Course Content

Normed linear spaces. Banach spaces. Hahn-Banach Theorem and consequences. Baire category Theorem. Uniform boundedness principle. Open Mapping and Closed Graph Theorems. Selected topics and applications.