Sumários

Open mapping theorem and closed graph theorem

17 Outubro 2017, 15:30 • Luís Fernando Sanchez Rodrigues

Open mapping theorem and closed graph theorem. 

Topological direct sum of subspaces. 

Discussion of exercises

16 Outubro 2017, 18:00 • Luís Fernando Sanchez Rodrigues

Exercises on linear operators. Decomposition of some functional spaces into the sum of constants plus the functions with zero integral.

linear operators (cont.)

16 Outubro 2017, 17:00 • Luís Fernando Sanchez Rodrigues

Integral operators, their norms and their adjoints.


Product spaces. Factor spaces. Canonical decomposition of a continuous linear mapping by factoring through the kernel.

Discussion of exercises

12 Outubro 2017, 17:00 • Luís Fernando Sanchez Rodrigues

Exercises on adjoint operators,and some previous topics.

Adjoint operators

12 Outubro 2017, 16:00 • Luís Fernando Sanchez Rodrigues

Existence and basic properties of adjoint operators in Hilbert space.

Self-adjoint operators; the norm of these operators computed in terms of the associated quadratic form.