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P-adic discrete semigroup of contractions

  • El amrani, Abdelkhalek [1] ; Ettayb, Jawad [1] ; Blali, Aziz [1]
    1. [1] Sidi Mohamed Ben Abdellah University

      Sidi Mohamed Ben Abdellah University

      Fes-Medina, Marruecos

  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 40, Nº. 6, 2021, págs. 1507-1519
  • Idioma: inglés
  • DOI: 10.22199/issn.0717-6279-4413
  • Enlaces
  • Resumen
    • Let A ∈ B(X) be a spectral operator on a non-archimedean Banach space over Cp. In this paper, we give a necessary and sufficient condition on the resolvent of A so that the discrete semigroup consisting of powers of A is contractions.

  • Referencias bibliográficas
    • A. El Amrani, A. Blali, J. Ettayb, and M. Babahmed, “A note on C0-groups and C-groups on non-archimedean Banach spaces”, Asian-European journal...
    • A. G. Gibson, “A discrete Hille-Yoshida-Phillips theorem”, Journal of mathematical analysis and applications, vol. 39, pp. 761-770, 1972.
    • N. Koblitz, P-adic analysis: A short course on recent work. Cambridge: Cambridge University Press, 1980.
    • A. C. M. van Rooij, Non-Archimedean functional analysis. New York, NY: Dekker, 1978.
    • W. H. Schikhof, “On p-adic compact operators”, Catholic University, Department of Mathematics, Nijmegen, The Netherlands, Tech. Rep. 8911,...
    • A. Pazy, Semigroups of linear operators and applications to partial differential equations. New York, NY: Springer, 1983.

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