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Title: Àlgebres de Banach i el teorema de Gelfand-Naimark
Author: Camprubí Peiró, Andreu
Director/Tutor: Ortega Cerdà, Joaquim
Keywords: C*-àlgebres
Treballs de fi de grau
Àlgebres de Banach
Funcions de diverses variables complexes
Morfismes (Matemàtica)
Bachelor's thesis
Banach algebras
Functions of several complex variables
Morphisms (Mathematics)
Issue Date: 21-Jun-2020
Abstract: [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.
Note: Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2020, Director: Joaquim Ortega Cerdà
Appears in Collections:Treballs Finals de Grau (TFG) - Matemàtiques

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