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A nonlinear Pietsch domination theorem

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Abstract

Pietsch’s domination theorem, which is known for linear, multilinear and polynomial mappings, is extended to a larger class of nonlinear mappings.

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References

  1. Diestel, J., Jarchow, H., Tonge, A.: Absolutely Summing Operators. Cambridge Stud. Adv. Math., vol. 43. Cambridge University Press, Cambridge (1995)

  2. Geiss, S.: Ideale multilinearer Abbildungen, Diplomarbeit (1985)

  3. Lermer K. (1998) The Grothendieck–Pietsch domination principle for nonlinear summing integral operators. Studia Math. 129: 97–112

    MATH  MathSciNet  Google Scholar 

  4. Matos M.C. (1993) On multilinear mappings of nuclear type. Rev. Mat. Univ. Complut. Madrid 6: 61–81

    MATH  MathSciNet  Google Scholar 

  5. Matos M.C. (1996) Absolutely summing holomorphic mappings. An. Acad. Brasil. Ciênc. 68: 1–13

    MATH  MathSciNet  Google Scholar 

  6. Matos M.C. (2003) Nonlinear absolutely summing mappings. Math. Nachr. 258: 71–89

    Article  MATH  MathSciNet  Google Scholar 

  7. Pietsch A. (1980) Operator Ideals. North-Holland, Amsterdam

    MATH  Google Scholar 

  8. Pietsch, A.: Ideals of multilinear functionals. In: Proceedings of the Second International Conference on Operator Algebras, Ideals and Their Applications in Theoretical Physics, pp. 185–199. Teubner-Texte, Leipzig (1983)

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Authors and Affiliations

  1. Faculdade de Matemática, Universidade Federal de Uberlândia, Uberlândia, 38400-902, Brazil

    Geraldo Botelho

  2. Departamento de Matemática, Universidade Federal da Paraíba, João Pessoa, 58051-900, Brazil

    Daniel Pellegrino

  3. Departamento de Análisis Matemático, Universidad de Valencia, Burjasot-Valencia, 46100, Spain

    Pilar Rueda

Authors
  1. Geraldo Botelho
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  2. Daniel Pellegrino
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  3. Pilar Rueda
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Corresponding author

Correspondence to Pilar Rueda.

Additional information

G. Botelho has been supported by CNPq Project 202162/2006-0.

D. Pellegrino has been supported by CNPq Projects 471054/2006-2 and 308084/2006-3.

P. Rueda has been supported by MEC and FEDER Project MTM2005-08210.

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Botelho, G., Pellegrino, D. & Rueda, P. A nonlinear Pietsch domination theorem. Monatsh Math 158, 247–257 (2009). https://doi.org/10.1007/s00605-008-0044-4

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  • DOI: https://doi.org/10.1007/s00605-008-0044-4

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