Project on geometry of Lipschitz-free spaces and their approximation properties

• Grant number: 17/18623-5
• Support Opportunities: Regular Research Grants
• Start date: February 01, 2018
• End date: January 31, 2020
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Pedro Levit Kaufmann
• Grantee: Pedro Levit Kaufmann
• 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
• City of the host institution: São José dos Campos

Abstract

We will explore topics on nonlinear geometry of Banach spaces, focused on the so-called Lipschitz-free spaces over locally compact groups and their approximation properties. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

CANDIDO, LEANDRO; KAUFMANN, PEDRO L.. On Lipschitz-free spaces over spheres of Banach spaces. Journal of Mathematical Analysis and Applications, v. 500, n. 1, AUG 1 2021. (16/25574-8, 17/18623-5)

CANDIDO, LEANDRO; KAUFMANN, PEDRO L.. ON THE GEOMETRY OF BANACH SPACES OF THE FORM Lip(0)(C(K)). Proceedings of the American Mathematical Society, v. 149, n. 8, p. 3335-3345, AUG 2021. (17/18623-5, 16/25574-8)

DOUCHA, MICHAL; KAUFMANN, PEDRO L.. Approximation properties in Lipschitz-free spaces over groups. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, v. 105, n. 3, p. 21-pg., 2022-03-02. (16/25574-8, 17/18623-5)