RT bachelor thesis
T1 Teorema de Banach-Stone: Un puente entre Análisis, Álgebra y Topología
A1 Escalante Rodríguez, Óscar
A2 Matemáticas
K1 Teorema Banach Stone
K1 espacios C(K)
K1 isometrías
K1 homeomorfismos metricos
AB In 1932, Banach published the first study on isometries between real-valued function spaces defined over a compact metric space K. He studied the isometries between C(K) spaces, in relation to the homeomorphisms between the base spaces. Years later, Stone improved his theorem by proving it on spaces that were not necessarily metric, this is what today is known as the classical Banach-Stone theorem. Over the years, many lines of research have developed in relation to this theorem, weakening or changing hypothesis, studying isomorphisms on the ring structure of C(K) spaces, modifying the norm, considering spaces of vector-valued functions C(K,X), etc. We will focus our study on Banach and Stone's original theorems as well as on some of the advances made by other authors.
YR 2017
FD 2017-07
LK http://hdl.handle.net/10498/19767
UL http://hdl.handle.net/10498/19767
LA spa
DS Repositorio Institucional de la Universidad de Cádiz
RD 21-sep-2026