Unconditional bases and Banach lattices

• Grant number: 16/19537-2
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: November 01, 2016
• End date: July 31, 2017
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Valentin Raphael Henri Ferenczi
• Grantee: Rafaela Gesing
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

This project aims to introduce the student to the theory of Banach Lattices and the interpolation of Banach Spaces. The main topics of the project include unconditional bases, Banach lattices, product of lattices as function spaces and some initial results of interpolation theory. The student already has the necessary notions of Functional Analysis for the development of the project. (AU)