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.
Tayebi,A. and Reza Khoshdani,T. (2023). Continuous Riesz bases in Hilbert C*-modules. Mathematical Analysis and Convex Optimization, 4(1), 79-89. doi: 10.22034/maco.4.1.7
MLA
Tayebi,A. , and Reza Khoshdani,T. . "Continuous Riesz bases in Hilbert C*-modules", Mathematical Analysis and Convex Optimization, 4, 1, 2023, 79-89. doi: 10.22034/maco.4.1.7
HARVARD
Tayebi A., Reza Khoshdani T. (2023). 'Continuous Riesz bases in Hilbert C*-modules', Mathematical Analysis and Convex Optimization, 4(1), pp. 79-89. doi: 10.22034/maco.4.1.7
CHICAGO
A. Tayebi and T. Reza Khoshdani, "Continuous Riesz bases in Hilbert C*-modules," Mathematical Analysis and Convex Optimization, 4 1 (2023): 79-89, doi: 10.22034/maco.4.1.7
VANCOUVER
Tayebi A., Reza Khoshdani T. Continuous Riesz bases in Hilbert C*-modules. MACO, 2023; 4(1): 79-89. doi: 10.22034/maco.4.1.7
Mathematical Analysis and Convex Optimization