Characterizations of (near) exact g-frames, g-Riesz bases, and Besselian g-frames - Details

author：

Xiao, Xiangchun (Xiao, Xiangchun.) ^[1] | Zhu, Yucan (Zhu, Yucan.) ^[2] | Zhou, Guorong (Zhou, Guorong.) ^[3]

Indexed by：

Abstract：

In　this　paper,　we　use　a　new　general　sequence　corresponding　to　a　g-Bessel　sequence　{λj:　jJ}　to　characterize　that　{λj:　jJ}　are　l2({Vj}jJ)-linear　independent,　g-complete　and　a　g-frame.　We　also　use　{λj:　jJ}　and　the　refinement　{Λijλj:　i　I,j　Ji}　to　characterize　each　other　to　be　(near)　exact　g-frames　or　g-Riesz　bases.　Finally,　we　give　several　constructions　and　an　equivalent　characterization　of　Besselian　g-frames　and　near　exact　g-frames.　©　2019　World　Scientific　Publishing　Company.

Keyword：

Information systems Mathematical techniques

Community：

[ 1 ] [Xiao, Xiangchun]Department of Mathematics, Xiamen University of Technology, Xiamen; 361024, China
[ 2 ] [Zhu, Yucan]Department of Mathematics and Computer Science, Fuzhou University, Fuzhou; 350002, China
[ 3 ] [Zhou, Guorong]Department of Mathematics, Xiamen University of Technology, Xiamen; 361024, China

Reprint 's Address：

Email：

Show more details

Related Keywords：

Research on Innovation Application of Community O2O Based on Consumer Demand Analysis
2018，4th Annual International Conference on Network and Information Systems for Computers, ICNISC 2018
Research on the influence of network distance teaching on the reform of college physical education
2021，2021 International Conference on Information Systems and Computer Engineering, ISCE 2021
Research on the effect of exercise load on orienteering map reading ability based on computer software analysis
2021，2021 International Conference on Information Systems and Computer Engineering, ISCE 2021
Research on the application of computer-aided design in the creation of modern lacquer painting
2021，2021 International Conference on Information Systems and Computer Engineering, ISCE 2021
Research on the practice and application of information technology in physical education
2021，2021 International Conference on Information Systems and Computer Engineering, ISCE 2021

Source ：

International Journal of Wavelets, Multiresolution and Information Processing

ISSN： 0219-6913

Year： 2019

Issue： 5

Volume： 17

0 . 7 3 9

JCR@2019

0 . 9 0 0

JCR@2023

ESI HC Threshold：162

JCR Journal Grade：4

CAS Journal Grade：4

Cited Count：

WoS CC Cited Count：

SCOPUS Cited Count： 4

ESI Highly Cited Papers on the List： 0 Unfold All

WanFang Cited Count：

Chinese Cited Count：

30 Days PV： 0

Affiliated Colleges：

Get Fulltext

DOI Library Discovery Baidu Scholar Search Engineering Village

Type
Departments

All Years Choose Year From to