Operadores lineares Cohen fortemente somantes

• Ano de defesa: 2017
• Autor(a) principal: Leite, Fábio da Silva de Siqueira
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal da Paraíba; Brasil; Matemática; Programa de Pós-Graduação em Matemática; UFPB
• Palavras-chave em Português: Operadores Cohen fortemente somantes; Operadores absolutamente somantes; ideais de operadores; Espaços de sequências; Ideal dual; Cohen strongly summing operators; Absolutely summing operators; Operator ideals; Sequence spaces; Dual ideal; CIENCIAS EXATAS E DA TERRA::MATEMATICA
• Link de acesso: https://repositorio.ufpb.br/jspui/handle/tede/9296

The goal of our work is to study the class of the Cohen strongly summing operators. Initially, we present basic results from Functional Analysis that are necessary for the development of the text and then we deal with sequence spaces which will be used to de ne and study the classes of operators involved in this work, as necessarily the class of the absolutely summing operators. We also study the sequence space of the Cohen- Khalil strongly (q; p)-summable sequences and the sequence space of the Cohen strongly p-summable sequences, as a particular instance of the former. From this, we de ne the class of the Cohen strongly p-summing operators and the class of the Cohen-Khalil strongly (s; r; p)-summing operators which, under certain conditions, are equivalent. We conclude with a study, from the viewpoint of the operator ideal theory, using the abstract environment created by G. Botelho and J. R. Campos, in order to show that p and Dp are Banach ideals and the relations dual p = Dp and Ddual p = p are valid, where p and p are conjugate indexes.