Continuous deformations of Fredholm operators in B(H)

• Grant number: 18/21971-8
• Support Opportunities: Scholarships in Brazil - Master
• Start date: February 01, 2019
• End date: January 31, 2021
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Severino Toscano Do Rego Melo
• Grantee: Rodrigo Lima Dias
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

In his Master's thesis, the applicant will prove generalizations of a classical result in Operator Theory, namely, that two bounded Fredholm operators on a Hilbert space can be joined by a continuous curve of Fredholm operators if and only if they have the same index. (AU)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

DIAS, Rodrigo Lima. Continuous deformations of Fredholm operators in B(H). 2021. Master's Dissertation - Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME/SBI) São Paulo.