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Bilkent University

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Undergraduate and Graduate Programs 2023-2024

MATH 502 Real Analysis II

Topological vector spaces. Metrizability. Locally convex spaces. Boundedness and normability. Barreled spaces. Banach-Steinhaus theorem. Dual pairs and polar topologies. Topologies on spaces of linear mappings. Inductive and projective limits. Distributions. Elements of spectral theory. Credit units: 3 ECTS Credit units: 5.

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