Title of article :
Continuous Riesz bases in Hilbert C*-modules
Author/Authors :
ghasemi ، Hadi Department of Mathematics and Computer Sciences - Hakim Sabzevari University , Lal Shateri ، Tayebe Department of Mathematics and Computer Sciences - Hakim Sabzevari University
Abstract :
The paper is devoted to continuous frames and continuous Riesz basis in Hilbert C*-modules. We define a continuous Riesz basis in Hilbert C*-modules and investigate the relationship between a continuous Riesz basis and an L^2-independent Bessel mapping. Also, we show that a continuous frame is a continuous Riesz basis if and only if it is a Riesz-type frame. Finally, we give the relation between two continuous Riesz bases in Hilbert C*-modules.
Keywords :
Hilbert C ∗ , module , Riesz basis , continuous frame , L 2 , independent , Riesz , type frame
Journal title :
Mathematical Analysis and Convex Optimization
Journal title :
Mathematical Analysis and Convex Optimization
