Topological vector spaces.

10 Outubro 2012, 20:30 • 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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Hilbert spaces.

3 Outubro 2012, 20:30 • Fernando Manuel Rodrigues Ferreira Gonçalves

Hilbert spaces: inner product spaces; orthogonality; Fourier series.

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Vector spaces.

19 Setembro 2012, 20:30 • Fernando Manuel Rodrigues Ferreira Gonçalves

Vector spaces: definition and examples; subspaces, linear combinations, and linear varieties; convexity and cones; linear independence and dimension.

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