Ortega Cerdà, JoaquimCamprubí Peiró, Andreu2021-04-262021-04-262020-06-21https://hdl.handle.net/2445/176587Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2020, Director: Joaquim Ortega Cerdà[en] Banach algebras are Banach spaces equipped with a continuous multiplication. We begin this thesis by familiarizing ourselves with the general theory of these objects. Next, we turn our attention to the study of the commutative case. It is in this frame that we conclude the project, by proving the Gelfand-Naimark theorem, a striking representation theorem of a certain type of Banach algebras, namely commutative C*-algebras.54 p.application/pdfcatcc-by-nc-nd (c) Andreu Camprubı́ Peiró, 2020http://creativecommons.org/licenses/by-nc-nd/3.0/es/C*-àlgebresTreballs de fi de grauÀlgebres de BanachFuncions de diverses variables complexesMorfismes (Matemàtica)C*-algebrasBachelor's thesesBanach algebrasFunctions of several complex variablesMorphisms (Mathematics)info:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/openAccess