Geodesic
Fully summing mappings between Banach spaces
Mário C. Matos1 ; Daniel M. Pellegrino2
1IMECC-UNICAMP Caixa Postal 6065 Campinas, SP, Brazil
2Departamento de Matemática Universidade Federal da Paraíba Cep 58051-900 João Pessoa, PB, Brazil
Studia Mathematica, Tome 178 (2007) no. 1, pp. 47-61
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We introduce and investigate the non-$n$-linear concept of fully summing mappings; if $n=1$ this concept coincides with the notion of nonlinear absolutely summing mappings and in this sense this article unifies these two theories. We also introduce a non-$n$-linear definition of Hilbert–Schmidt mappings and sketch connections between this concept and fully summing mappings.
DOI : 10.4064/sm178-1-3
Keywords: introduce investigate non n linear concept fully summing mappings concept coincides notion nonlinear absolutely summing mappings sense article unifies these theories introduce non n linear definition hilbert schmidt mappings sketch connections between concept fully summing mappings

Mário C. Matos  1   ; Daniel M. Pellegrino  2

1 IMECC-UNICAMP Caixa Postal 6065 Campinas, SP, Brazil
2 Departamento de Matemática Universidade Federal da Paraíba Cep 58051-900 João Pessoa, PB, Brazil 
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Mário C. Matos; Daniel M. Pellegrino. Fully summing mappings between Banach spaces. Studia Mathematica, Tome 178 (2007) no. 1, pp. 47-61. doi: 10.4064/sm178-1-3

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