Operator Characterizations and Some Properties of g-Frames on Hilbert Spaces. (30th October 2013)

• Record Type: Journal Article
• Authors: Guo, Xunxiang
• Other Names: Secchi Simone Academic Editor.
• Is Part Of: Journal of function spaces and applications. Volume 2013(2013)
• Publication Date: 2013-10-30
• Subjects: Function spaces -- Periodicals; 515.73
• DOI: 10.1155/2013/931367
• Languages: English
• ISSNs: 0972-6802

Abstract

Abstract : Given the g -orthonormal basis for Hilbert space H, we characterize the g -frames, normalized tight g -frames, and g -Riesz bases in terms of the g -preframe operators. Then we consider the transformations of g -frames, normalized tight g -frames, and g -Riesz bases, which are induced by operators and characterize them in terms of the operators. Finally, we discuss the sums and g -dual frames of g -frames by applying the results of characterizations.