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When every multilinear mapping is multiple summing
Authors:Geraldo Botelho  Daniel Pellegrino
Affiliation:1. Universidade Federal de Uberlândia, Faculdade de Matemática, 38.400-902 Uberlândia, Brazil;2. Universidade Federal da Paraíba, Departamento de Matemática, 58.051-900 João Pessoa, Brazil
Abstract:In this paper we give a systematized treatment to some coincidence situations for multiple summing multilinear mappings which extend, generalize and simplify the methods and results obtained thus far. The application of our general results to the pertinent particular cases gives several new coincidences as well as easier proofs of some known results (© 2009 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)
Keywords:Multiple summing  absolutely summing  multilinear mappings
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