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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

Contribuições à teoria dos operadores Cohen fortemente somantes

Campos, Jamilson Ramos 05 April 2013 (has links)
Made available in DSpace on 2015-05-15T11:46:05Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 865721 bytes, checksum: 3cb3fb14f515822a2db03f7945b5427a (MD5) Previous issue date: 2013-04-05 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES / This work presents a study of Cohen strongly summing operators under the viewpoint of the theory of multilinear operators ideals and polynomial ideals. Furthermore, we introduce two new classes that generalize the concept of multilinear operators and polynomials of this nature, namely multiple Cohen strongly summing operators and Cohen strongly summing operators at a given point. We show that the new classes defined, as well as the previous classes, form normed ideals of operators/polynomials and that the class of multiple Cohen strongly summing operators forms a Banach ideal. We also show that the construction of the class of multiple Cohen strongly summing operators provides a holomorphy type and a coherent and compatible sequence of ideals. / Neste trabalho apresentamos um estudo dos operadores Cohen fortemente somantes sob o ponto de vista da teoria de ideais de operadores e polinômios. Além disso, introduzimos duas novas classes de operadores que generalizam o conceito de operadores multilineares e polinômios desta natureza, a saber, os operadores múltiplo Cohen fortemente somantes e os operadores Cohen fortemente somantes num dado ponto. Mostramos que as novas classes definidas, como as anteriores, formam ideais normados de operadores/polinômios e que os operadores múltiplo Cohen fortemente somantes formam um ideal de Banach. Também mostramos que a construção da classe dos operadores múltiplo Cohen fortemente somantes fornece um tipo de holomorfia e uma sequência coerente e compatível de ideais.

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