HAHN-BANACH'THEOREM AND CONSEQUENCES

• Grant number: 23/05725-5
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: June 01, 2023
• End date: November 30, 2023
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Ana Paula Peron
• Grantee: Fernanda Esteves Oliveira
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

In this project we propose to study the Hahn-Banach's theorem and some other fundamental results, such as, the uniform boundedness principle, the open mapping theorem and the closed graph theorem.