| Grant number: | 12/15162-3 |
| Support Opportunities: | Scholarships in Brazil - Scientific Initiation |
| Start date: | November 01, 2012 |
| End date: | February 28, 2015 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Analysis |
| Principal Investigator: | Marta Cilene Gadotti |
| Grantee: | Cristiano dos Santos |
| Host Institution: | Instituto de Geociências e Ciências Exatas (IGCE). Universidade Estadual Paulista (UNESP). Campus de Rio Claro. Rio Claro , SP, Brazil |
Abstract This project is intended to introduce the normed spaces, present some differences between finite-dimensional spaces and infinite, study summability in the case of normed spaces and Banach spaces, characterize the compact sets in the space of continuous functions by Arzela-Theorem Ascoli. In addition, we will study the Hilbert spaces and properties, demonstrate the Riesz representation theorem and the Hahn-Banach theorem, and finally, accomplish some applications.(AU) | |
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