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Course Title	Code	Semester	Laboratory+Practice (Hour)	Pool	Type	ECTS
Introduction to Functional Analysis	MATH401	FALL	4+0		C	6

Learning Outcomes	1-Analyze metric spaces, complete metric spaces, and properties of complete metric spaces 2-Comments some basic concepts like limits of sequences and open-closed sets 3-Explains norm concept, linear functionals and linear operators defined on normed spaces 4-Applies some fundamental theorems in Functional analysis like Hahn-Banach Theorem, Banach Steinhauss Theorem, Open mapping and closed graph theorem

Prerequisites	-
Language of Instruction	English
Responsible	Assoc. Prof. Dr. Mustafa ASLANTAŞ
Instructors	-
Assistants	-
Resources	R1. Lecture notes
Supplementary Book	SR1. Kreyszig, E. (1978). Introductory functional analysis with applications (Vol. 1). New York: wiley. SR2. Muscat, J. (2014). Functional analysis: an introduction to metric spaces, Hilbert spaces, and Banach algebras. Springer.
Goals	The aim of the course is to show norm concept, normed space, linear bounded operators between normed saces together with some applications of them
Content	Metric spaces, normed spaces, linear functionals, linear bounded operators on normed space,Hahn-Banach theorem, Banach Steinhauss theorem, Open mapping and closed graph theorem

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