An introduction to Hilbert spaces theory

• Grant number: 15/03827-9
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: May 01, 2015
• End date: April 30, 2017
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Maria Do Carmo Carbinatto
• Grantee: Matheus Duzi Ferreira Costa
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

The goal of this project is to provide a systematicstudy of the basic ideas and results of Hilbert space theory and to illustrate the topics by means of exemples, in particular, studying the space of the functions Lebesgue integrable.