Methods of infinite combinatorics in functional analysis

• Grant number: 18/10254-3
• Support Opportunities: Regular Research Grants
• Start date: August 01, 2018
• End date: July 31, 2020
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Rogerio Augusto dos Santos Fajardo
• Grantee: Rogerio Augusto dos Santos Fajardo
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

Using techniques of Set Theory and Infinite Combinatory, we investigate problems related to the geometry of Banach spaces of the form C(K). In special, we study the spaces C(K) with few operators, i.e., where every operator on C(K) is multiplication by a continuous function plus a weakly compact operator. When K is connected, this implies C(K) is indecomposable, which is the main focus on our research. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

VILLA BARBEIRO, ANDRE SANTOLERI; DOS SANTOS FAJARDO, ROGERIO AUGUSTO. Non homeomorphic hereditarily weakly Koszmider spaces. Topology and its Applications, v. 265, SEP 15 2019. (18/10254-3, 16/25574-8)