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http://hdl.handle.net/2445/176587| 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) C*-algebras Bachelor's theses 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 |
| URI: | http://hdl.handle.net/2445/176587 |
| Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 176587.pdf | Memòria | 704.7 kB | Adobe PDF | View/Open |
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