Sumários
Compact operators (cont)
21 Novembro 2017, 15:30 • Luís Fernando Sanchez Rodrigues
Compact operators are stable with respect to compositions. The kernel of I-T is finite dimensional if T is compact. Range of I-T is closed. Eigenvalues can only accumulate at 0.
Discussion
20 Novembro 2017, 18:00 • Luís Fernando Sanchez Rodrigues
Discussion of exercises on the concept of compact operator.
Weak convergence (cont.). Compact operators
20 Novembro 2017, 17:00 • Luís Fernando Sanchez Rodrigues
Further properties of weak convergence. Lower semicontinuity, convex functions, and existence of a minimum.
Discussão de problemas
16 Novembro 2017, 17:00 • Luís Fernando Sanchez Rodrigues
Questões sobre convergência fraca.
Convergência fraca (cont.) /Weak convergence (cont.)
16 Novembro 2017, 16:00 • Luís Fernando Sanchez Rodrigues
Critérios de convergência fraca em Lp. Convexos fechados e convergência fraca. Lema de Mazur e Teorema de Banach-Saks.
Weak convergence in Lp. Closed convex sets and weak convergence. Mazur´s Lemma. The theorem of Banach-Saks.