ResearchBib Share Your Research, Maximize Your Social Impacts
Sign for Notice Everyday Sign up >> Login

Similar generalized frames

Journal: Sahand Communications in Mathematical Analysis (Vol.10, No. 1)

Publication Date:

Authors : ;

Page : 17-28

Keywords : Dual frame; Similar $g$-frames; Frame operator; $g$-frame; Operator dual frame;

Source : Downloadexternal Find it from : Google Scholarexternal

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.

Last modified: 2018-06-19 14:27:43