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