| Grant number: | 18/03765-1 |
| Support type: | Scholarships in Brazil - Post-Doctorate |
| Effective date (Start): | May 01, 2018 |
| Effective date (End): | March 23, 2020 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Analysis |
| Principal Investigator: | Valentin Raphael Henri Ferenczi |
| Grantee: | Willian Hans Goes Corrêa |
| Home 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): | 19/09205-0 - Applications of Functional Analysis to Quantum Information Theory, BE.EP.PD |
Abstract A twisted sum of two Banach spaces Y and Z is a quasi-Banach space X which has a subspace isomorphic to Y with respective quotient isomorphic to Z. When Y and Z are Hilbert spaces X is said to be a twisted Hilbert. Few examples of twisted Hilbert are known, and in this project we intend to find other examples, conditions for singularity (Y being the most non-complemented in X) e for other properties of interest. Among them is if the isomorphism class of X is a Borel class. | |