Similar generalized frames
Journal: Sahand Communications in Mathematical Analysis (Vol.10, No. 1)Publication Date: 2018-04-01
Authors : Azadeh Alijani;
Page : 17-28
Keywords : Dual frame; Similar $g$-frames; Frame operator; $g$-frame; Operator dual frame;
Abstract
Generalized frames are an extension of frames in Hilbert spaces and Hilbert $C^*$-modules. In this paper, the concept ''Similar" for modular $g$-frames is introduced and all of operator duals (ordinary duals) of similar $g$-frames with respect to each other are characterized. Also, an operator dual of a given $g$-frame is studied where $g$-frame is constructed by a primary $g$-frame and an orthogonal projection. Moreover, a $g$-frame is obtained by two the $g$-frames and its operator duals are investigated. Finally, the dilation of $g$-frames is studied.
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Last modified: 2018-06-19 14:27:43