Constructions of C(K) spaces

• Grant number: 13/01609-9
• Support Opportunities: Scholarships abroad - Research Internship - Master's degree
• Start date: September 01, 2013
• End date: February 28, 2014
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Christina Brech
• Grantee: Clayton Suguio Hida
• Supervisor: Piotr Boleslaw Koszmider
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Institution abroad: Polish Academy of Sciences (PAN), Poland
• Associated to the scholarship: 11/15129-3 - Partial orders and its applications to the geometry of Banach spaces, BP.MS

Abstract

In this project we propose to study some constructions of Banach spaces of the form C(K). These spaces compose a representative class among Banach spaces in general, specially in the nonseparable setting. The combinatorial methods studied by the candidate up to now and those which we plan to study before the proposed visit form a solid basis to the construction of numerous examples with interesting properties, from various points of view: operator algebras, existence of biorthogonal systems, Asplund spaces, etc. We should mention that this is the main topic of the research developed by the supervisor, Prof. Piotr Koszmider. (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)

HIDA, CLAYTON SUGUIO. Two Cardinal inequalities about bidiscrete systems. Topology and its Applications, v. 212, p. 71-80, OCT 1 2016. (11/01285-3, 13/01609-9)