MATH 414 Functional Analysis

Normed spaces. Compactness in Banach spaces. Linear operators. Dual spaces, reflexivity. Hilbert spaces. Orthogonal sequences in Hilbert spaces. Operators in Hilbert spaces. HahnBanach theorem. Uniform boundedness principle. Open mapping and closed graph theorems. Weak and weak* convergence.
Credit units: 3 ECTS Credit units: 6, Prerequisite:
MATH 313.



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