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Master's Dissertation
DOI
Document
Author
Full name
Vinícius Colferai Corrêa Miranda
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2019
Supervisor
Committee
Lourenco, Mary Lilian (President)
Bernardes Junior, Nilson da Costa
Pedra, Walter Alberto de Siqueira
Title in Portuguese
Álgebras normadas de Dales-Davie
Keywords in Portuguese
Álgebra natural
Algebrabilidade
Álgebras de Dales-Davie
Álgebras normadas
Espaçabilidade
Residualidade
Abstract in Portuguese
O principal objetivo deste trabalho é o estudo de certas álgebras de funções complexas infinitamente deriváveis. Denomidas Álgebras de Dales-Davie, apresentamos a construção dessas álgebras que foram definidas por Dales e Davie em 1973, como também apresentamos os principais resultados envolvendo sua completude e naturalidade, tópicos que foram estudados por diversos autores, e.g. Abtahi, Honary, et al. Por fim, apresentamos os resultados obtidos por Lourenço e Vieira a respeito do estudo da diferença das álgebras de Dales-Davie com a Álgebra de Disco.
Title in English
Dales-Davie normed algebras
Keywords in English
Algebrability
Dales-Davie algebras
Natural algebras
Normed algebras
Residuality
Spaceability
Abstract in English
The main purpose of this work is to study the Dales-Davie algebras . We shall present the construction of this algebras defined by Dales and Davie in 1973. Following, the main results about its completeness and naturality as an normed algebra, this topics were studied by some authors, e.g. Abtahi, Honary, et al. Furthermore, we study the results found by Lourenço e Vieira about the difference of Dales-Davie algebras and Disk algebra.
 
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DISSERTA__O.pdf (847.11 Kbytes)
Publishing Date
2019-04-24
 
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