some relationship between g-frames and frames
نویسندگان
چکیده
in this paper we proved that every g-riesz basis for hilbert space $h$ with respect to $k$ by adding a condition is a riesz basis for hilbert $b(k)$-module $b(h,k)$. this is an extension of [a. askarizadeh,m. a. dehghan, {em g-frames as special frames}, turk. j. math., 35, (2011) 1-11]. also, we derived similar results for g-orthonormal and orthogonal bases. some relationships between dual frame, dual g-frame and exact frame and exact g-frame are presented too.
منابع مشابه
Some relationship between G-frames and frames
In this paper we proved that every g-Riesz basis for Hilbert space $H$ with respect to $K$ by adding a condition is a Riesz basis for Hilbert $B(K)$-module $B(H,K)$. This is an extension of [A. Askarizadeh, M. A. Dehghan, {em G-frames as special frames}, Turk. J. Math., 35, (2011) 1-11]. Also, we derived similar results for g-orthonormal and orthogonal bases. Some relationships between dual fra...
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عنوان ژورنال:
sahand communications in mathematical analysisناشر: university of maragheh
ISSN 2322-5807
دوره 2
شماره 1 2015
کلمات کلیدی
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