Summability of multilinear mappings: Littlewood,Orlicz and beyond |
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| Authors: | Oscar Blasco Geraldo Botelho Daniel Pellegrino Pilar Rueda |
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| Institution: | 1.Departamento de Análisis Matemático,Universidad de Valencia,Burjasot, Valencia,Spain;2.Faculdade de Matemática,Universidade Federal de Uberlandia,Uberlandia,Brazil;3.Departamento de Matemática,Universidade Federal da Paraíba,Jo?o Pessoa,Brazil |
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| Abstract: | In this paper we prove new results concerning summability properties of multilinear mappings between Banach spaces, such as an extension of Littlewood’s 4/3 Theorem. The role of the Littlewood–Orlicz property in the theory is established, especially in the question of determining when multilinear mappings are (1; 2, . . . , 2)-summing. |
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