K-Riesz bases and K-g-Riesz bases in Hilbert C∗-module

• El amrani, Abdelkhalek ^[1] ; Rossafi, Mohamed ^[1] ; El Krouk, Tahar
  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. 42, Nº. 5, 2023, págs. 1241-1260
• Idioma: inglés
• DOI: 10.22199/issn.0717-6279-5713
• Enlaces
  • Texto completo
• Resumen

  • This paper is devoted to studying the K-Riesz bases and the K-g-Riesz bases in Hilbert C∗-modules; we characterize the concept of K-Riesz bases by a bounded below operator and the standard orthonormal basis for Hilbert C∗-modules H. Also We give some properties and characterization of K-g-Riesz bases by a bounded surjective operator and g-orthonormal basis for H. Finally we consider the relationships between K-Riesz bases and K-g-Riesz bases.

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