Sumários
lecture 26
27 maio 2019, 14:00 • Helena Mascarenhas
An overview on Fredholm theory: Fredholm operators, Calkin algebra, Fredholm index. Resolution of problems with focus on the spectrum.
lecture 25
23 maio 2019, 15:30 • Helena Mascarenhas
Caracterization of the spectrum of compact operators. Fredholm alternative. Examples
lecture 24
20 maio 2019, 14:00 • Helena Mascarenhas
Resolvent operator. Proof of Gelfand-Mazur theorem. A spectral theorem. spectral radius. Applications to operators : Point spectrum, continuous spectrum and residual spectrum. Compact operators in Banach spaces with the approximation property.
lecture 23
16 maio 2019, 15:30 • Helena Mascarenhas
Gelfand transform. Wiener algebra. C*algebras. Gelfand-Naimark theorem.