Contribuições à teoria dos operadores Cohen fortemente somantes

• Autor(a) principal: Campos, Jamilson Ramos
• Data de Publicação: 2013
• Tipo de documento: Tese
• Idioma: por
• Título da fonte: Biblioteca Digital de Teses e Dissertações da UFPB
• Texto Completo: https://repositorio.ufpb.br/jspui/handle/tede/7376
• topic: Matemática; Operações Cohen fortemente somantes; Séries em espaços de banach; Cohen strongly summing operators; Operators and polynomials ideals; CIENCIAS EXATAS E DA TERRA::MATEMATICA

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.