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. Hahn-Banach 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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