Perturbation of frames and Riesz bases in Hilbert C*-modules
Document Type
Article
Publication Date
8-1-2009
Abstract
We extend the Casazza-Christensen general perturbation theorem for Hilbert space frames to modular frames in Hilbert C*-modules. In the Hilbert space setting, under the same perturbation condition, the perturbation of any Riesz basis remains to be a Riesz basis. However, this result is no longer true for Riesz bases in Hilbert C*-modules. We obtain a necessary and sufficient condition under which the perturbation (under Casazza-Christensen's perturbation condition) of Riesz bases of Hilbert C*-modules remains to be Riesz bases.
Recommended Citation
Han, Deguang; Jing, Wu; and Mohapatra, Ram N., "Perturbation of frames and Riesz bases in Hilbert C*-modules" (2009). College of Health, Science, and Technology. 1077.
https://digitalcommons.uncfsu.edu/college_health_science_technology/1077