Polynomials and holomorphic functions in Banach spaces

• Grant number: 12/01015-9
• Support Opportunities: Regular Research Grants
• Start date: July 01, 2012
• End date: September 30, 2014
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Mary Lilian Lourenco
• Grantee: Mary Lilian Lourenco
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

Our purpose is to study the polynomials and holomorphic functions in infinite dimensional Banach spaces with the natural interplay which this theory has with the geometry Banach spaces theory as well as Banach algebra. Using some techniques of distints mathematics areas, our main purpose is develope an unify theory with emphasis in the infinite dinensional theory. The problens which are proposing to investigate represent different aspects of the Funcional Analyisi and complex analysis in Bamach spaces and it involves inside of the purposed topic. (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)

ACOSTA, M. D.; GALINDO, P.; LOURENCO, M. L.. Boundaries for algebras of analytic functions on function module Banach spaces. Mathematische Nachrichten, v. 287, n. 7, p. 729-736, MAY 2014. (12/01015-9)

CARRION, HUMBERTO; GALINDO, PABLO; LOURENCO, MARY LILIAN. A holomorphic characterization of compact sets in Banach spaces. BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, v. 47, n. 3, p. 863-869, SEP 2016. (12/01015-9)

ACOSTA, MARIA D.; BECERRA-GUERRERO, JULIO; CHOI, YUN SUNG; CIESIELSKI, MACIEJ; KIM, SUN KWANG; LEE, HAN JU; LOURENCO, MARY LILIAN; MARTIN, MIGUEL. The Bishop-Phelps-Bollobas property for operators between spaces of continuous functions. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, v. 95, p. 323-332, JAN 2014. (12/01015-9)