Course Information

Code	Course Name	Language	Type
MAT 428E	Functional Analysis	English	Elective

Local Credits	ECTS	Theoretical	Tutorial	Laboratory
3	6	3	0	0

Course Prerequisites and Class Restriction
Prerequisites	MAT 272 MIN DD or MAT 272E MIN DD or MAT 288 MIN DD or MAT 288E MIN DD
Class Restriction	None

Course Description

Linear and normed spaces. Linear operators and bounded linear operators. Linear functionals. Dual space. Hilbert spaces. The system of orthonormal and exact vectors. Bessel’s inequality. Parseval’s identity. Hilbert adjoint operator and self-adjoint, unitary and normal operators. HahnBanach Theorems. First and second category sets. The uniform boundedness principle. Strong and weak convergence. Open mapping theorem. Closed graph theorem.

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+90 212 365 78 00-99 (100 line)

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+90 212 285 29 09

İTÜ Ayazağa Campus

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34469 Maslak - İstanbul

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ogrenciisleri@itu.edu.tr

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