Equivalency Relations between Continuous g-Frames and Stability of Alternate Duals of Continuous g-Frames in Hilbert C*-Modules
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-02
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We introduce the modular continuous g-Riesz basis to improve one existing result for continuous g-Riesz basis in Hilbert C*-modules, and then we study the equivalency relations between continuous g-frames in Hilbert C*-modules, and, in particular, we obtain two necessary and sufficient conditions under which two continuous g-frames are similar.
Finally, we generalize a stability result for alternate duals of g-frames in Hilbert spaces to alternate duals of continuous g-frames in Hilbert C*-modules.
American Psychological Association (APA)
Xiang, Zhong-Qi. 2013. Equivalency Relations between Continuous g-Frames and Stability of Alternate Duals of Continuous g-Frames in Hilbert C*-Modules. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-453348
Modern Language Association (MLA)
Xiang, Zhong-Qi. Equivalency Relations between Continuous g-Frames and Stability of Alternate Duals of Continuous g-Frames in Hilbert C*-Modules. Journal of Applied Mathematics No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-453348
American Medical Association (AMA)
Xiang, Zhong-Qi. Equivalency Relations between Continuous g-Frames and Stability of Alternate Duals of Continuous g-Frames in Hilbert C*-Modules. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-453348
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-453348