Operadores extremos en espacios de Banach Cabrera Serrano, Ana María Mena Jurado, Juan Francisco Universidad de Granada. Departamento de Análisis Matemático Espacios de Banach Matemáticas Algebras de funciones Algebras de operadores Análisis funcional Algebras de Hilbert Espacios Lp Espacios funcionales 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. 2017-07-24T12:19:03Z 2017-07-24T12:19:03Z 2017 2017-06-30 info:eu-repo/semantics/doctoralThesis Cabrera Serrano, A.M. Operadores extremos en espacios de Banach. Granada: Universidad de Granada, 2017. [http://hdl.handle.net/10481/47257] 9788491632870 http://hdl.handle.net/10481/47257 spa http://creativecommons.org/licenses/by-nc-nd/3.0/ info:eu-repo/semantics/openAccess Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License Universidad de Granada