On Continuous Frames in Hilbert $C^*$-Modules
In the present paper, we study continuous frames in Hilbert $C^*$-modules and present some results of these frames. Next, we give the concept of dual continuous frames in Hilbert $C^*$-modules and investigate some properties of them. Also, by introducing the notion of the similarity of the continuou...
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| Format: | Article |
| Language: | English |
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University of Maragheh
2024-03-01
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| Series: | Sahand Communications in Mathematical Analysis |
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| Online Access: | https://scma.maragheh.ac.ir/article_709996_fdc006ad670d2849a1e7899a792e8644.pdf |
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| _version_ | 1823859379586203648 |
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| author | Hadi Ghasemi Tayebe Lal shateri |
| author_facet | Hadi Ghasemi Tayebe Lal shateri |
| author_sort | Hadi Ghasemi |
| collection | DOAJ |
| description | In the present paper, we study continuous frames in Hilbert $C^*$-modules and present some results of these frames. Next, we give the concept of dual continuous frames in Hilbert $C^*$-modules and investigate some properties of them. Also, by introducing the notion of the similarity of the continuous frames, characterizing it, and stating some of its properties, we refer to the investigation of the effect of similarity on the dual continuous frames in Hilbert $C^*$-modules. |
| format | Article |
| id | doaj-art-1d40efefbff14a76a87c141c99fae733 |
| institution | Kabale University |
| issn | 2322-5807 2423-3900 |
| language | English |
| publishDate | 2024-03-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj-art-1d40efefbff14a76a87c141c99fae7332025-02-11T05:24:47ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002024-03-0121232734910.22130/scma.2023.2007308.1396709996On Continuous Frames in Hilbert $C^*$-ModulesHadi Ghasemi0Tayebe Lal shateri1Department of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, P.O. Box 397, Iran.Department of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, P.O. Box 397, Iran.In the present paper, we study continuous frames in Hilbert $C^*$-modules and present some results of these frames. Next, we give the concept of dual continuous frames in Hilbert $C^*$-modules and investigate some properties of them. Also, by introducing the notion of the similarity of the continuous frames, characterizing it, and stating some of its properties, we refer to the investigation of the effect of similarity on the dual continuous frames in Hilbert $C^*$-modules.https://scma.maragheh.ac.ir/article_709996_fdc006ad670d2849a1e7899a792e8644.pdfhilbert c^*-modulecontinuous frameriesz-type framedual continuous framesimilar continuous frame |
| spellingShingle | Hadi Ghasemi Tayebe Lal shateri On Continuous Frames in Hilbert $C^*$-Modules Sahand Communications in Mathematical Analysis hilbert c^*-module continuous frame riesz-type frame dual continuous frame similar continuous frame |
| title | On Continuous Frames in Hilbert $C^*$-Modules |
| title_full | On Continuous Frames in Hilbert $C^*$-Modules |
| title_fullStr | On Continuous Frames in Hilbert $C^*$-Modules |
| title_full_unstemmed | On Continuous Frames in Hilbert $C^*$-Modules |
| title_short | On Continuous Frames in Hilbert $C^*$-Modules |
| title_sort | on continuous frames in hilbert c modules |
| topic | hilbert c^*-module continuous frame riesz-type frame dual continuous frame similar continuous frame |
| url | https://scma.maragheh.ac.ir/article_709996_fdc006ad670d2849a1e7899a792e8644.pdf |
| work_keys_str_mv | AT hadighasemi oncontinuousframesinhilbertcmodules AT tayebelalshateri oncontinuousframesinhilbertcmodules |