Some New Characterizations and g-Minimality and Stability of g-Bases in the Hilbert Spaces
Author
Source
Journal of Function Spaces and Applications
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-13
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
The concept of g-basis in the Hilbert spaces is introduced by Guo (2012) who generalizes the Schauder basis in the Hilbert spaces.
g-basis plays the similar role in g-frame theory to that the Schauder basis plays in frame theory.
In this paper, we establish some important properties of g-bases in the Hilbert spaces.
In particular, we obtain a simple condition under which some important properties established in Guo (2012) are still true.
With these conditions, we also establish some new interesting properties of g-bases which are related to g-minimality.
Finally, we obtain a perturbation result about g-bases.
American Psychological Association (APA)
Guo, Xunxiang. 2013. Some New Characterizations and g-Minimality and Stability of g-Bases in the Hilbert Spaces. Journal of Function Spaces and Applications،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-459281
Modern Language Association (MLA)
Guo, Xunxiang. Some New Characterizations and g-Minimality and Stability of g-Bases in the Hilbert Spaces. Journal of Function Spaces and Applications No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-459281
American Medical Association (AMA)
Guo, Xunxiang. Some New Characterizations and g-Minimality and Stability of g-Bases in the Hilbert Spaces. Journal of Function Spaces and Applications. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-459281
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-459281