Continuous frames and g-frames
نویسندگان
چکیده مقاله:
In this note, we aim to show that several known generalizations of frames are equivalent to the continuous frame defined by Ali et al. in 1993. Indeed, it is shown that these generalizations can be considered as an operator between two Hilbert spaces.
منابع مشابه
Construction of continuous $g$-frames and continuous fusion frames
A generalization of the known results in fusion frames and $g$-frames theory to continuous fusion frames which defined by M. H. Faroughi and R. Ahmadi, is presented in this study. Continuous resolution of the identity (CRI) is introduced, a new family of CRI is constructed, and a number of reconstruction formulas are obtained. Also, new results are given on the duality of continuous fusion fram...
متن کاملcontinuous frames and g-frames
in this note, we aim to show that several known generalizations of frames are equivalent to the continuous frame defined by ali et al. in 1993. indeed, it is shown that these generalizations can be considered as an operator between two hilbert spaces.
متن کاملconstruction of continuous $g$-frames and continuous fusion frames
a generalization of the known results in fusion frames and $g$-frames theory to continuous fusion frames which defined by m. h. faroughi and r. ahmadi, is presented in this study. continuous resolution of the identity (cri) is introduced, a new family of cri is constructed, and a number of reconstruction formulas are obtained. also, new results are given on the duality of continuous fusion fram...
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عنوان ژورنال
دوره 40 شماره 4
صفحات 1047- 1055
تاریخ انتشار 2014-08-01
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