Conferencia del Prof. Dr. Matías Raja Baño

Título: Conjuntos convexos compactos que admiten una función estrictamente convexa
Ponente: Matías Raja Baño
Fecha: 19/06/2014   11:00h
Lugar: Sala de Seminarios, Edificio Torretamarit
Resumen:
In the frame of a locally convex space X, we wil consider the class SC(X) of convex compact subsets AX such that there exists f: AR which is lower semicontinuous and strictly convex. In the first part of the talk we will relate this class to some other class of compacta studied in topology, as the descriptive or the fragmentable. After that, we will prove an embedding result for those compacta into strictly convex duals. Finally, we will discuss the existence of exposed points and related notions. This is part of a joint work with L.C. García Lirola and J. Orihuela.
Breve Bio:
Matías Raja es profesor titular de Análisis Matemático en el Departamento de Matemáticas de la Universidad de Murcia.Title: Compact convex sets that admits an strictly convex function
Speaker: Matías Raja Baño
Date: 19/06/2014   11:00h
Location: Sala de Seminarios, Edificio Torretamarit
Abstract
In the frame of a locally convex space X, we wil consider the class SC(X) of convex compact subsets AX such that there exists f: AR which is lower semicontinuous and strictly convex. In the first part of the talk we will relate this class to some other class of compacta studied in topology, as the descriptive or the fragmentable. After that, we will prove an embedding result for those compacta into strictly convex duals. Finally, we will discuss the existence of exposed points and related notions. This is part of a joint work with L.C. García Lirola and J. Orihuela.
Brief Bio
Matías Raja es profesor titular de Análisis Matemático en el Departamento de Matemáticas de la Universidad de Murcia.