Operadores extremos en espacios de Banach
Metadatos
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Universidad de Granada
Director
Mena Jurado, Juan FranciscoDepartamento
Universidad de Granada. Departamento de Análisis MatemáticoMateria
Espacios de Banach Matemáticas Algebras de funciones Algebras de operadores Análisis funcional Algebras de Hilbert Espacios Lp Espacios funcionales
Materia UDC
517 12
Fecha
2017Fecha lectura
2017-06-30Referencia bibliográfica
Cabrera Serrano, A.M. Operadores extremos en espacios de Banach. Granada: Universidad de Granada, 2017. [http://hdl.handle.net/10481/47257]
Patrocinador
Tesis Univ. Granada. Programa Oficial de Doctorado en: MatemáticasResumen
This dissertation is devoted to study a class of Banach spaces in which the class of extreme operators agree with the more restricted class called nice operators. This agreement has been previously considered in different types
of Banach spaces. We fix some notation in order to give the accurate notions we are going to deal with.
Only real Banach spaces will be considered in this dissertation. If X is a Banach space, then BX, SX, and EX will stand for the closed unit ball of X, the sphere of X, and the set of extreme points of BX, respectively. Given
another normed space Y , we denote by L(X; Y ) the space of all continuous linear operators from X into Y endowed with its canonical norm. When Y = R, we will write X*, the dual space of X, instead of L(X;R). For T in L(X; Y ) we define T* L(Y*;X*), the adjoint operator of T, by T*(y*) = y* T for all y* in Y*. Once we have introduced the basic notation
we can explain the main results of each chapter.