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


  • Abdelkhalek El amrani Sidi Mohamed Ben Abdellah University, Dhar El Mahraz Faculty of science
  • Mohamed Rossafi Sidi Mohamed Ben Abdellah University
  • Tahar El Krouk




Riesz bases, K-Riesz bases, K-g-Riesz bases, C∗-algebra, Hilbert C∗-module


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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How to Cite

A. El amrani, M. Rossafi, and T. El Krouk, “K-Riesz bases and K-g-Riesz bases in Hilbert C∗-module”, Proyecciones (Antofagasta, On line), vol. 42, no. 5, pp. 1241-1260, Sep. 2023.




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