Novos espaços de sequências e de operadores associados a uma aplicação bilinear

• Autor(a) principal: Monteiro, Marcos Aurélio Guimarães
• Data de Publicação: 2020
• 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/123456789/20355
• topic: Espaços de sequências; Sequências (B,p)-somáveis; Espaços Bnormados; Teoria de operadores; Operadores (B,p)-somantes; Sequence spaces; (B,p)-summable sequences; B-normed spaces; Operator theory; (B,p)-summing operators; CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA

In this work, we give contributions to the theory of sequences in Banach spaces, and to theory of operators defined by the transformation of vector-valued sequences. We study new sequence spaces associated to a bilinear application and investigate the completeness of these spaces. We also relate them with the spaces of absolutely, weakly and Cohen strongly p-summable sequences and establish conditions of duality. In addition, we study new classes of linear operators related to these spaces and obtain new results, such as a Pietsch domination-type theorem and composition, inclusion and coincidence theorems.