Comment on “Continuous g-Frame in Hilbert -Modules”
The continuous g-frames in Hilbert -modules were introduced and investigated by Kouchi and Nazari (2011). They also studied the continuous g-Riesz basis and a characterization for it was presented by using the synthesis operator. However, we found that there is an error in the proof. The purpose o...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/243453 |
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| _version_ | 1832558919629668352 |
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| author | Zhong-Qi Xiang |
| author_facet | Zhong-Qi Xiang |
| author_sort | Zhong-Qi Xiang |
| collection | DOAJ |
| description | The continuous g-frames in Hilbert -modules were introduced and investigated by Kouchi and Nazari (2011). They also studied the continuous g-Riesz basis and a characterization for it was presented by using the synthesis operator. However, we
found that there is an error in the proof. The purpose of this paper is to improve their result by introducing the so-called modular continuous g-Riesz basis. |
| format | Article |
| id | doaj-art-317a79a2cd20470a874b483aa1a60db2 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-317a79a2cd20470a874b483aa1a60db22025-02-03T01:31:11ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/243453243453Comment on “Continuous g-Frame in Hilbert -Modules”Zhong-Qi Xiang0College of Mathematics and Statistics, Central China Normal University, Wuhan 430079, ChinaThe continuous g-frames in Hilbert -modules were introduced and investigated by Kouchi and Nazari (2011). They also studied the continuous g-Riesz basis and a characterization for it was presented by using the synthesis operator. However, we found that there is an error in the proof. The purpose of this paper is to improve their result by introducing the so-called modular continuous g-Riesz basis.http://dx.doi.org/10.1155/2013/243453 |
| spellingShingle | Zhong-Qi Xiang Comment on “Continuous g-Frame in Hilbert -Modules” Abstract and Applied Analysis |
| title | Comment on “Continuous g-Frame in Hilbert -Modules” |
| title_full | Comment on “Continuous g-Frame in Hilbert -Modules” |
| title_fullStr | Comment on “Continuous g-Frame in Hilbert -Modules” |
| title_full_unstemmed | Comment on “Continuous g-Frame in Hilbert -Modules” |
| title_short | Comment on “Continuous g-Frame in Hilbert -Modules” |
| title_sort | comment on continuous g frame in hilbert modules |
| url | http://dx.doi.org/10.1155/2013/243453 |
| work_keys_str_mv | AT zhongqixiang commentoncontinuousgframeinhilbertmodules |