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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
City of the host institution:São Paulo

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)

Articles published in Agência FAPESP Newsletter about the research grant:
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Scientific publications
(The scientific publications listed on this page originate from the Web of Science or SciELO databases. Their authors have cited FAPESP grant or fellowship project numbers awarded to Principal Investigators or Fellowship Recipients, whether or not they are among the authors. This information is collected automatically and retrieved directly from those bibliometric databases.)
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, . (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, . (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, . (12/01015-9)