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Decompositions of g-Frames and Duals and Pseudoduals of g-Frames in Hilbert Spaces
Author
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-04-06
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
Firstly, we study the representation of g-frames in terms of linear combinations of simpler ones such as g-orthonormal bases, g-Riesz bases, and normalized tight g-frames.
Then, we study the dual and pseudodual of g-frames, which are critical components in reconstructions.
In particular, we characterize the dual g-frames in a constructive way; that is, the formulae for dual g-frames are given.
We also give some g-frame like representations for pseudodual g-frame pairs.
The operator parameterizations of g-frames and decompositions of bounded operators are the key tools to prove our main results.
American Psychological Association (APA)
Guo, Xunxiang. 2015. Decompositions of g-Frames and Duals and Pseudoduals of g-Frames in Hilbert Spaces. Journal of Function Spaces،Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1068246
Modern Language Association (MLA)
Guo, Xunxiang. Decompositions of g-Frames and Duals and Pseudoduals of g-Frames in Hilbert Spaces. Journal of Function Spaces No. 2015 (2015), pp.1-7.
https://search.emarefa.net/detail/BIM-1068246
American Medical Association (AMA)
Guo, Xunxiang. Decompositions of g-Frames and Duals and Pseudoduals of g-Frames in Hilbert Spaces. Journal of Function Spaces. 2015. Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1068246
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1068246