On a Generalization of the Hilbert Frame Generated by the Bilinear Mapping
Joint Authors
Guliyeva, Fatima
Ismailov, Migdad
Nasibov, Yusif
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-04-05
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
The concept of b -frame which is a generalization of the frame in Hilbert spaces generated by the bilinear mapping is considered.
b -frame operator is defined; analogues of some well-known results of frame theory are obtained in Hilbert spaces.
Conditions for the existence of b -frame in Hilbert spaces are obtained; the relationship between the definite bounded surjective operator and b -frame is also studied.
The concept of b -orthonormal b -basis is introduced.
American Psychological Association (APA)
Ismailov, Migdad& Guliyeva, Fatima& Nasibov, Yusif. 2016. On a Generalization of the Hilbert Frame Generated by the Bilinear Mapping. Journal of Function Spaces،Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1108676
Modern Language Association (MLA)
Ismailov, Migdad…[et al.]. On a Generalization of the Hilbert Frame Generated by the Bilinear Mapping. Journal of Function Spaces No. 2016 (2016), pp.1-8.
https://search.emarefa.net/detail/BIM-1108676
American Medical Association (AMA)
Ismailov, Migdad& Guliyeva, Fatima& Nasibov, Yusif. On a Generalization of the Hilbert Frame Generated by the Bilinear Mapping. Journal of Function Spaces. 2016. Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1108676
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1108676