Programa

Tópicos de Álgebras de Operadores

Diploma de Estudos Avançados em Matemática

Programa

Part 1: Non-commutative Gelfand Theories in Banach Algebras - Revision of commutative Gelfand theory - Allan?s local principle - Norm-preserving localization - Gohberg-Krupnik?s local principle - Simonenko?s local principle - PI-algebras - Algebras generated by idempotents Part 2: Algebras of Operator Sequences - Approximation methods and sequences of operators - Algebraization - Essentialization and lifting theorems - Finite sections of Wiener-Hopf and Toeplitz operators - Singular values and epsilon-pseudospectra