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Beyond transitivity for linear operators on infinite dimension

Grant number: 21/08199-7
Support Opportunities:Scholarships abroad - Research Internship - Master's degree
Effective date (Start): October 31, 2021
Effective date (End): April 29, 2022
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal Investigator:Patricia Romano Cirilo
Grantee:Felipe Hikari Kawahama
Supervisor: Enrique Ramiro Pujals
Host Institution: Instituto de Ciência e Tecnologia (ICT). Universidade Federal de São Paulo (UNIFESP). Campus São José dos Campos. São José dos Campos , SP, Brazil
Research place: City University of New York (CUNY), United States  
Associated to the scholarship:19/20500-4 - Abundance of transitive linear operators in infinite dimension, BP.MS


The aim of the research project to be developed during the internship abroad is divided in two parts: (i) to explore if it is possible to characterize those infinite dimensional operator such that their non-wandering set is robustly transitive (ii) For any operator or at least for generic ones, to explore the possibility of finding a spectral decomposition of the non-wandering set (or the chain recurrent) in closed invariant transitive subspaces.

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