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《Journal of Qufu Normal University(Natural Science)》 2013-04
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The Relationship Between Several g-Frames and the Frames for Their Corresponding Subspaces

HUANG Xin-li;Fuzhou Straits Vocational and Technological College;  
The induced sequence by g-frames with respect to the frames for its corresponding subspaces is defined.It offers some equivalent characterizations of g-frames,g-Riesz bases and g-Riesz frames with the induced sequences.And whether g-Besselian frames and near g-Riesz bases have the same characterizations is discussed,too.
【CateGory Index】: O177
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【Citations】
Chinese Journal Full-text Database 2 Hits
1 WANG Yan-jin,ZHU Yu-can(College of Mathematics and Computer Science,Fuzhou University,Fuzhou,Fujian 350002,China);G-Riesz frames in Hilbert spaces[J];Journal of Fuzhou University(Natural Science Edition);2007-06
2 DING Ming-ling1, ZHU Yu-can2(1. College of Computer and Information, Fujian Agriculture and Forestry University, Fuzhou, Fujian 350002, China; 2. College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350108, China);Near g-Riesz bases in Hilbert spaces[J];Journal of Fuzhou University(Natural Science Edition);2010-05
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 WU Ping-ping,SHU Zhi-biao(College of Mathematics and Computer Science,Fuzhou University,Fuzhou,Fujian 350108,China);Approximation of the inverse of g - frame operator[J];Journal of Fuzhou University(Natural Science Edition);2011-01
2 WANG Jing-hua1,ZHU Yu-can2,WANG Ya-ling2(1.Department of Basic Courses,Aviation University of Air Force,Changchun,Jilin 130022,China;2.College of Mathematics and Computer Science,Fuzhou Universiey,Fuzhou,Fujian 350108,China);Stabilities of fusion-Riesz frames and g-Riesz frames[J];Journal of Fuzhou University(Natural Science Edition);2011-04
3 HUANG Xi-jiao1,ZHU Yu-can2(1.College of Humanistic Management,Anyang Normal University,Anyang,Henan 455000,China;2.College of Mathematics and Computer Science,Fuzhou University,Fuzhou,Fujian 350116,China);The applications of a bounded linear operator L[J];Journal of Fuzhou University(Natural Science Edition);2013-03
4 Rui LIU;Department of Mathematics and LPMC, Nankai University;;Minimal and Maximal Unconditional Bases with Respect to Framings[J];数学学报(英文版);2013-12
5 LI Chan-juan;ZHU Yu-can;College of Mathematics and Computer Science,Fuzhou University;;Some properties of exact K-frames in Hilbert spaces[J];Journal of Fuzhou University(Natural Science Edition);2013-05
6 LI Xue-bin;ZHU Yu-can;College of Mathematics and Computer Science,Fuzhou University;;The operator perturbation of fusion-Riesz frames[J];Journal of Fuzhou University(Natural Science Edition);2014-02
7 ZHOU Yan;College of Mathematics and Computer Science,Fuzhou University;;K-g-frames and oblique duality[J];Journal of Fuzhou University(Natural Science Edition);2014-01
8 DONG Fang-fang;College of Mathematical and Statistics,Tianshui Normal University;;Stability of sum and direct sum of generalized frame in Hilbert K-module[J];Journal of Lanzhou University of Technology;2014-02
9 LIU Nan;Basic Department,Shaanxi Polytechnic Institute;;Perturbation of(p,Y)-operator frames in Banach space[J];Basic Sciences Journal of Textile Universities;2014-02
10 ZHU YuCan, XIAO XiangChun, SHU ZhiBiao & LI JianZhen;Some equalities and inequalities for g-Bessel sequences in Hilbert spaces (II)[J];Scientia Sinica(Mathematica);2013-08
China Proceedings of conference Full-text Database 1 Hits
1 Yu Pan, Li Chai, Yuxia Sheng Wuhan University of Science and Technology, Wuhan 430081, China;Computation and Optimization of Frame Bounds for the Laplacian Pyramid[A];[C];2013
【Secondary Citations】
Chinese Journal Full-text Database 4 Hits
1 DING Ming-ling1,2,ZHU Yu-can1 (1.College of Mathematics and Computer Science,Fuzhou University,Fuzhou,Fujian 350002,China;2.College of Computer and Information,Fujian Agriculture and Forestry University,Fuzhou,Fujian 350002,China);Stability of g-frames[J];Journal of Fuzhou University(Natural Science Edition);2007-03
2 XIAO Xiang-chun,ZHU Yu-can,WANG Yan-jin,DING Ming-ling (College of Mathematics and Computer Science,Fuzhou University,Fuzhou,Fujian 350002,China);Some properties of a bounded linear operator defined by a g-Bessel sequence[J];Journal of Fuzhou University(Natural Science Edition);2007-03
3 DING Ming-ling1,ZHU Yu-can2 (1.College of Computer and Information,Fujian Agriculture and Forestry University,Fuzhou,Fujian 350002,China;2.College of Mathematics and Computer Science,Fuzhou University,Fuzhou,Fujian 350108,China);Exact g-frames in Hilbert spaces[J];Journal of Fuzhou University(Natural Science Edition);2010-04
4 Xiang Chun XIAO Department of Mathematical Sciences, Xiamen University, Xiamen 361005, P. R. China Department of Mathematics and Computer Science,Fuzhou University, Fuzhou 350002, P. R. China Yu Can ZHU Department of Mathematics and Computer Science, Fuzhou University, Fuzhou 350002, P. R. China Xiao Ming ZENG Department of Mathematical Sciences, Xiamen University, Xiamen 361005, P. R. China;Some Properties of g-Parseval Frames in Hilbert Spaces[J];Acta Mathematica Sinica;2008-06
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