g-Bases in Hilbert Spaces
Author
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-20
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
The concept of g-basis in Hilbert spaces is introduced, which generalizes Schauder basis in Hilbert spaces.
Some results about g-bases are proved.
In particular, we characterize the g-bases and g-orthonormal bases.
And the dual g-bases are also discussed.
We also consider the equivalent relations of g-bases and g-orthonormal bases.
And the property of g-minimal of g-bases is studied as well.
Our results show that, in some cases, g-bases share many useful properties of Schauder bases in Hilbert spaces.
American Psychological Association (APA)
Guo, Xunxiang. 2012. g-Bases in Hilbert Spaces. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-508429
Modern Language Association (MLA)
Guo, Xunxiang. g-Bases in Hilbert Spaces. Abstract and Applied Analysis No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-508429
American Medical Association (AMA)
Guo, Xunxiang. g-Bases in Hilbert Spaces. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-508429
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-508429