Manuel González: Tauberian operators: Examples and applications

Data: sexta-feira, 11 de abril de 2014, às 14h 

Sala: 243-A 

Palestrante: Manuel González, Universidad de Cantabria 

Título: Tauberian operators: Examples and applications 

Resumo: Tauberian operators first appeared in summability theory (Garling and Wilansky), and were formally introduced by Kalton and Wilansky. These operators have found applications in several topics of Banach space theory like factorization of operators (DFJP factorization), preservation of isomorphic properties (Neidinger), equivalence between the Radon-Nikodym property and the Krein-Milman property (Schachermayer), and refinements of James' characterization of reflexive spaces (Neidinger and Rosenthal). This talk describes some properties of tauberian operators, presents the main source of nontrivial examples (DFJP factorization), provides several characterizations that are useful in applications, and discusses some open problems.