Sumários

21 Setembro 2017, 16:00 • Luís Fernando Sanchez Rodrigues

Orthonormal bases (cont.): Bessel's inequality; Parseval identity.

Riesz representation theorem for continuous lineqr functionals in Hilbert space.

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

Exercises on the geometry of Hilbert space.

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

Orthogonal decomposition. Hilbert bases. Separable Hilbert spaces. Examples.

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

Important examples of Hilbert and Banach spaces: the spaces l^p, p>1.

Holder and Minkowski inequalities.

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

Inner product, norm. Hilbert space. Projection on a clodes, convex set. Orthogonal projection on a closed subspace.