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

Abdelkhalek El Amrani, Mohamed Rossafi, Tahar El Krouk

• 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.