Semester: 2017-2018 Fall

Instructor: Ekin Uğurlu

Office Hours:   Friday: 15:30-16:30

Catalog Description.  Metric Spaces, Completion of Metric Spaces, Normed Spaces, Finite Dimensional Normed Spaces, Bounded Linear operators, Linear Functional, Dual Space, Inner Product Spaces and Hilbert Spaces, Riesz Representation Theorem, Hilbert Adjoint Operator, Self-Adjoint, Unitary and Normal Operators, Hahn-Banach Theorem, Uniform Boundedness Principle, Strong and Weak Convergence, reflexivity.

Textbook. E. Kreyszig, Introductory Functional Analysis with Applications, John Wiley & Sons, 1989.

Evaluation Criteria. Two midterm examinations (30% each), one final examination (40%).

Exams:

Midterm I: 10.11.2017 Friday at 13:20