Introduction to functional analysis with applications

• Grant number: 12/16353-7
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Effective date (Start): October 01, 2012
• Effective date (End): September 30, 2013
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Roberto de Almeida Prado
• Grantee: Vinícius Lourenço da Rocha
• Host Institution: Faculdade de Ciências e Tecnologia (FCT). Universidade Estadual Paulista (UNESP). Campus de Presidente Prudente. Presidente Prudente , SP, Brazil

Abstract

In this research project will study some important topics of functional analysis such as normed spaces and Banach, Hilbert spaces, bounded linear operators, fundamental theorems for normed spaces, fixed-point theorem of Banach, spectral theory of linear operators in normed spaces, among others. We will also see some applications of this theory.(AU)