On a Generalization of the Hilbert Frame Generated by the Bilinear Mapping. (5th April 2016)

• Record Type: Journal Article
• Authors: Ismailov, Migdad; Guliyeva, Fatima; Nasibov, Yusif
• Other Names: Martín Miguel Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2016(2016)
• Publication Date: 2016-04-05
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2016/9516839
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : 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.