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Introduction to the functional analysis

Grant number: 20/00699-8
Support type:Scholarships in Brazil - Scientific Initiation
Effective date (Start): May 01, 2020
Effective date (End): April 30, 2021
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Analysis
Principal researcher:Marcos Tadeu de Oliveira Pimenta
Grantee:Willian Vinicius Felipe
Home Institution: Faculdade de Ciências e Tecnologia (FCT). Universidade Estadual Paulista (UNESP). Campus de Presidente Prudente. Presidente Prudente , SP, Brazil

Abstract

In this project we propose an introductory study of the main results in Functional Analysis. First of all the student is going to study several topics in Metric Spaces, which will be the basis to proceed to the study of the main topics in Functional Analysis. We propose studying normed vectorial spaces, topological results that allow us to state the Baire Theorem and its consequences.