The Characterization and Stability of g-Riesz Frames for Super Hilbert Space
Joint Authors
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-09-30
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
G-frames and g-Riesz frames as generalized frames in Hilbert spaces have been studied by many authors in recent years.
The super Hilbert space has a certain advantage compared with the Hilbert space in the field of studying quantum mechanics.
In this paper, for super Hilbert space H⊕K, the definitions of a g-Riesz frame and minimal g-complete are put forward; also a characterization of g-Riesz frames is obtained.
In particular, we generalize them to general super Hilbert space L1⊕L2⊕⋯⊕Ln.
Finally, a conclusion of the stability of a g-Riesz frame for the super Hilbert space is given.
American Psychological Association (APA)
Hua, Dingli& Yongdong, Huang. 2015. The Characterization and Stability of g-Riesz Frames for Super Hilbert Space. Journal of Function Spaces،Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1068273
Modern Language Association (MLA)
Hua, Dingli& Yongdong, Huang. The Characterization and Stability of g-Riesz Frames for Super Hilbert Space. Journal of Function Spaces No. 2015 (2015), pp.1-9.
https://search.emarefa.net/detail/BIM-1068273
American Medical Association (AMA)
Hua, Dingli& Yongdong, Huang. The Characterization and Stability of g-Riesz Frames for Super Hilbert Space. Journal of Function Spaces. 2015. Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1068273
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1068273
