Ideals and perturbations in twisted sums

• Grant number: 25/03740-2
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: November 01, 2025
• End date: October 31, 2027
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Valentin Raphael Henri Ferenczi
• Grantee: Carlos Gómez Cabello
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 23/12916-1 - Geometry of Banach spaces, AP.TEM

Abstract

The aim of this post-doctoral project is to develop research related to the area of twisted sums of Banach spaces, and more specifically in relation to operator ideals and perturbations by small norm operators. The supervisor will be Valentin Ferenczi (PR). The candidate is expected to interact with other members of the group specializing in twisted sums, such as W. Corrêa (PA), W. Cuellar (PA), and students linked to the project. Relations with operators in Banach spaces of analytic functions, as well as holomorphic dynamics, will be investigated. (AU)