Academic Catalog

MATH570 FUNCTIONAL ANALYSIS II

Course Code: 2360570
METU Credit (Theoretical-Laboratory hours/week): 3(3-0)
ECTS Credit: 8.0
Department: Mathematics
Language of Instruction: English
Level of Study: Graduate
Course Coordinator:
Offered Semester: Fall Semesters.

Course Content

Review of metric spaces. Normed Linear Spaces. Dual Spaces and Hahn-Banach Theorem. Bidual and Reflexivity. Baires Theorem. Dual Maps. Projections. Hubert Spaces. The spaces Lp(X.m). C(X). Locally Convex Vector Spaces. Duality Theory of lcs. Projective and Inductive topologies.