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Cohen Positive Strongly p-Summing and p-Dominated m-Homogeneous Polynomials

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  • Halima Hamdi
  • Samuel García-Hernández
  • Amar Belacel
  • Djamel Ouchenane
  • Sulima Ahmed Zubair
  • Heng Liu

Abstract

We introduce the concepts of Cohen positive strongly p-summing and positive p-dominated m-homogeneous polynomials. The version of Pietsch’s domination theorem for the first class among other results and a Bu-type theorem is proved, as well as some inclusions with other known spaces. Moreover, we present a characterization of these classes in tensor terms.

Suggested Citation

  • Halima Hamdi & Samuel García-Hernández & Amar Belacel & Djamel Ouchenane & Sulima Ahmed Zubair & Heng Liu, 2021. "Cohen Positive Strongly p-Summing and p-Dominated m-Homogeneous Polynomials," Journal of Mathematics, Hindawi, vol. 2021, pages 1-18, November.
    • Handle: RePEc:hin:jjmath:5495605
    DOI: 10.1155/2021/5495605
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