Copies of c0 in the set of strongly norm-attaining Lipschitz functions

• Grant number: 24/20723-1
• Support Opportunities: Scholarships in Brazil - Master
• Start date: February 01, 2025
• End date: February 28, 2026
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Willian Hans Goes Corrêa
• Grantee: Fernanda Esteves Oliveira
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated research grant: 23/06973-2 - Interpolation theory and geometry of Banach Spaces, AP.JP

Abstract

Questions of lineability and spaceability seek to understand when we can find a vector space or Banach space in a given set, initially without requiring much structure in the set. One step further is to look for a copy of a specificBanach space. The current project aims to study results regarding the possibility of finding copies of c0 in the set SNA(M) of all Lipschitz functions from a pointed metric space M into R, sendind the distinguished point of M to R, and strongly attaining the Lipschitz norm.