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Mediterranean Journal of Mathematics

, Volume 13, Issue 4, pp 1949–1961 | Cite as

Absolutely Summing Lipschitz Conjugates

  • R. YahiEmail author
  • D. Achour
  • P. Rueda
Article

Abstract

The aim of this paper is to contribute to the study of summability of Lipschitz mappings by characterizing those Lipschitz mappings whose Lipschitz conjugates are absolutely p-summing, namely the classes of Lipschitz strongly p-summing mappings (1 < p ≤ ∞).

Keywords

Lipschitz operators strongly Lipschitz p-summing strongly p-summing Lipschitz absolutely p-summing operators Arens–Eells space Piesch factorization theorem 

Mathematics Subject Classification

47L20 47J99 

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Copyright information

© Springer Basel 2015

Authors and Affiliations

  1. 1.Laboratoire d’Analyse Fonctionnelle et Géométrie des EspacesUniversity of M’silaM’silaAlgeria
  2. 2.Departamento de Análisis MatemáticoUniversidad de ValenciaBurjassot, ValenciaSpain

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