Dual Spaces

26 Outubro 2015, 20:00 • Fernando Manuel Rodrigues Ferreira Gonçalves

Dual spaces: The second dual space; Alignment and orthogonal complements; Weak convergence.

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Dual Spaces

19 Outubro 2015, 20:00 • Fernando Manuel Rodrigues Ferreira Gonçalves

Dual spaces: Linear functionals; Hahn-Banach theorem.

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Hilbert Spaces

12 Outubro 2015, 20:00 • Fernando Manuel Rodrigues Ferreira Gonçalves

Hilbert spaces: Inner product spaces; Orthogonality; Fourier series.

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Further Topics on Normed Spaces

5 Outubro 2015, 22:00 • Fernando Manuel Rodrigues Ferreira Gonçalves

Further topics on normed spaces: Weierstrass theorem; Quotient spaces;  Denseness and separability.

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Topological Vector Spaces

5 Outubro 2015, 20:00 • Fernando Manuel Rodrigues Ferreira Gonçalves

Topological vector spaces: Preliminaries; Topological spaces; Metric spaces; Topological vector spaces; Normed linear spaces; Banach spaces.

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