On Banach spaces $C_0 (K, X)$ and the topology of $K$.

• Grant number: 12/15957-6
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: December 01, 2012
• End date: November 30, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Eloi Medina Galego
• Grantee: Leandro Candido Batista
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated scholarship(s): 13/20703-6 - Applications of infinitary combinatorics in Banach Spaces of the forms $C(K)$, $C(K\times L)$, $C(K,X)$ and related structures, BE.EP.PD

Abstract

This is a research project involving two areas of Mathematics, Analysis and Topology, whose the main objective is studying the Banach spaces $C_0(K, X)$. The research methods involves the study of the Geometry of Banach spaces, Measure Theory, Topology and Set Theory. In this project will be discussed some aspects of the isomorphic theory of the spaces $C_0 (K, X)$, seeking continuity and extent of research conducted by the cadidate during his Ph.D. program.

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; GALEGO, ELOI MEDINA. How far is C(omega) from the other C(K) spaces?. STUDIA MATHEMATICA, v. 217, n. 2, p. 123-138, 2013. (12/15957-6)

CANDIDO, LEANDRO; GALEGO, ELOI MEDINA. How does the distortion of linear embedding of C-0(K) into C-0(Gamma, X) spaces depend on the height of K?. Journal of Mathematical Analysis and Applications, v. 402, n. 1, p. 185-190, JUN 1 2013. (12/15957-6)

CANDIDO, LEANDRO. On embeddings of C-0(K) spaces into C-0(L, X) spaces. STUDIA MATHEMATICA, v. 232, n. 1, p. 1-6, 2016. (12/15957-6)