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Comparing different classes of absolutely summing multilinear operators

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Abstract.

We compare the classical definitions of p-summing multilinear operators with the class of multiple p-summing operators, by showing which linear properties are properly generalized for each one of these classes.

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Authors and Affiliations

  1. Área de Matemática Aplicada, ESCET, Departamental II, Universidad Rey Juan Carlos, E-28933, Móstoles, Madrid, Spain

    David Pérez-García

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  1. David Pérez-García
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Correspondence to David Pérez-García.

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Received: 23 April 2004; revised: 3 February 2005

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Pérez-García, D. Comparing different classes of absolutely summing multilinear operators. Arch. Math. 85, 258–267 (2005). https://doi.org/10.1007/s00013-005-1125-4

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  • DOI: https://doi.org/10.1007/s00013-005-1125-4

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