Master's Dissertation
DOI
https://doi.org/10.11606/D.45.2007.tde-26092007-161856
Document
Author
Full name
Giselle Antunes Monteiro
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2007
Supervisor
Committee
Fernandez, Roseli (President)
Alencar, Raymundo Luiz de
Melo, Severino Toscano do Rego
Title in Portuguese
Integral de Kurzweil para funções a valores em um espaço de Riesz - uma introdução
Keywords in Portuguese
(D)-seqüência
espaço de Riesz
integral de Kurzweil
Abstract in Portuguese
Neste trabalho estudamos a integral de Kurzweil para funções definidas em um intervalo fechado limitado da reta e a valores em um espaço de Riesz. Apresentamos algumas propriedades básicas dessa integral e teoremas que relacionam a convergência uniforme de uma seqüência de funções Kurzweil integráveis com a convergência da seqüência formada pelas respectivas integrais.
Title in English
Kurzweil integral for functions with values in a Riesz space - an introduction
Keywords in English
(D)-sequence
Kurzweil integral
Riesz space
Abstract in English
In this work we study the Kurzweil integral for functions defined in a compact interval and with values in a Riesz space. We present some elementary properties for this integral and we prove theorems that relate the uniform convergence of a sequence of Kurzweil integrable functions to the convergence of the sequence of their integrals.
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GAMonteiro.pdf (641.72 Kbytes)
Publishing Date
2009-09-04