Similar generalized frames
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,...
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| Format: | Article |
| Language: | English |
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University of Maragheh
2018-04-01
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| Series: | Sahand Communications in Mathematical Analysis |
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| Online Access: | http://scma.maragheh.ac.ir/article_24628_6e243f25a60fbae52edb2214bfc74bcd.pdf |
| _version_ | 1819176025538428928 |
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| author | Azadeh Alijani |
| author_facet | Azadeh Alijani |
| author_sort | Azadeh Alijani |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-22T21:04:12Z |
| format | Article |
| id | doaj.art-9027577d4bfa451ea68a5ad40720f9ef |
| institution | Directory Open Access Journal |
| issn | 2322-5807 2423-3900 |
| language | English |
| last_indexed | 2024-12-22T21:04:12Z |
| publishDate | 2018-04-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj.art-9027577d4bfa451ea68a5ad40720f9ef2022-12-21T18:12:44ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002018-04-01101172810.22130/scma.2017.2462824628Similar generalized framesAzadeh Alijani0Department of Mathematics, Faculty of Science, Vali-e-Asr University of Rafsanjan, P.O. Box 7719758457, Rafsanjan, Iran.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.http://scma.maragheh.ac.ir/article_24628_6e243f25a60fbae52edb2214bfc74bcd.pdfDual frameSimilar $g$-framesFrame operator$g$-frameOperator dual frame |
| spellingShingle | Azadeh Alijani Similar generalized frames Sahand Communications in Mathematical Analysis Dual frame Similar $g$-frames Frame operator $g$-frame Operator dual frame |
| title | Similar generalized frames |
| title_full | Similar generalized frames |
| title_fullStr | Similar generalized frames |
| title_full_unstemmed | Similar generalized frames |
| title_short | Similar generalized frames |
| title_sort | similar generalized frames |
| topic | Dual frame Similar $g$-frames Frame operator $g$-frame Operator dual frame |
| url | http://scma.maragheh.ac.ir/article_24628_6e243f25a60fbae52edb2214bfc74bcd.pdf |
| work_keys_str_mv | AT azadehalijani similargeneralizedframes |