Submitted by ANA KARLA PEREIRA RODRIGUES (anakarla_@hotmail.com) on 2017-08-22T16:03:10Z No. of bitstreams: 1 arquivototal.pdf: 1039820 bytes, checksum: 2e99f469c22f0b9c57e0059499fc3b27 (MD5) / Made available in DSpace on 2017-08-22T16:03:10Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 1039820 bytes, checksum: 2e99f469c22f0b9c57e0059499fc3b27 (MD5) Previous issue date: 2017-02-21 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES / 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. / objetivo de nosso trabalho e estudar a classe dos operadores Cohen fortemente p- somantes. Inicialmente, apresentamos resultados b asicos de An alise Funcional necess arios ao desenvolvimento do texto e, em seguida, tratamos dos espa cos de sequ^encias que ser~ao usados na de ni c~ao e estudo das classes de operadores envolvidas no trabalho, como necessariamente a classe dos operadores absolutamente somantes. Apresentamos tamb em o espa co das sequ^encias Cohen-Khalil fortemente (q; p)-som aveis e o espa co das sequ^encias Cohen fortemente p-som aveis, como caso particular do primeiro. A partir disto, de - nimos a classe dos operadores Cohen fortemente p-somantes e a classe dos operadores Cohen-Khalil fortemente (s; r; p)-somantes que, sob certas condi c~oes, s~ao equivalentes. Conclu mos com um estudo, sob o ponto de vista da teoria dos ideais de operadores, usando o ambiente abstrato criado por G. Botelho e J. R. Campos, para mostrar que p e Dp s~ao ideais de Banach e valem as rela c~oes dual p = Dp e Ddual p = p, onde p e p s~ao ndices conjugados.