Sumários

26 Setembro 2017, 16:30 • Luís Fernando Sanchez Rodrigues

Problemas sobre as matérias já estudadas.

26 Setembro 2017, 15:30 • Luís Fernando Sanchez Rodrigues

General properties of continuous linear maps between normed spaces.

Finite dimensional spaces are the only normed spaces where the closed ball is compact.

Completeness. Examples.

25 Setembro 2017, 18:00 • Luís Fernando Sanchez Rodrigues

Exercises on normed spaces and in particular spaces of sequences.

25 Setembro 2017, 17:00 • Luís Fernando Sanchez Rodrigues

The trigonometric functions yield an orthonormal set of L2(0, 2*pi) which is a Hilbert basis (without proof for the moment).

Compactness conditions in metric spaces.

General comments on normed spaces; examples; finite dimensional spaces.

21 Setembro 2017, 17:00 • Luís Fernando Sanchez Rodrigues

Problems on the geometry of Hilbert space (cont.)