Uniform homeomorphisms between unit spheres of interpolation spaces

• Grant number: 17/14848-2
• Support Opportunities: Scholarships in Brazil - Master
• Start date: November 01, 2017
• End date: June 30, 2020
• 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
• Associated research grant: 16/25574-8 - Geometry of Banach Spaces, AP.TEM
• Associated scholarship(s): 18/08362-2 - Minimal functions in Banach lattices, BE.EP.MS

Abstract

The aim of the project is the detailed study of the article Homéomorphismes uniformes entre les sphères unité des espaces d'interpolation by M. Daher. With this goal in mind, essential concepts should be addressed, among them, firstly, the theory where the results investigated are developed: quasi-Banach spaces, interpolation, including the case of spaces and quasi-spaces of Köthe; Secondly, applications to the study of uniform homeomorphism between spheres of Banach spaces of interpolation scale, including the case of Köthe spaces, with special attention to the case of Lorentz spaces. (AU)

Academic Publications

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

GESING, Rafaela. Uniform homeomorphisms between unit spheres of interpolation spaces. 2020. Master's Dissertation - Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME/SBI) São Paulo.