Continuous g-Frame in Hilbert C∗-Modules
We give a generalization of g-frame in Hilbert C∗-modules that was introduced by Khosravies then investigated some properties of it by Xiao and Zeng. This generalization is a natural generalization of continuous and discrete g-frames and frame in Hilbert space too. We characterize continuous g-frame...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/361595 |
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| _version_ | 1849408203797823488 |
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| author | Mehdi Rashidi Kouchi Akbar Nazari |
| author_facet | Mehdi Rashidi Kouchi Akbar Nazari |
| author_sort | Mehdi Rashidi Kouchi |
| collection | DOAJ |
| description | We give a generalization of g-frame in Hilbert C∗-modules that was introduced by Khosravies then investigated some properties of it by Xiao and Zeng. This generalization is a natural generalization of continuous and discrete g-frames and frame in Hilbert space too. We characterize continuous g-frame g-Riesz in Hilbert C∗-modules and give some equality and inequality of these frames. |
| format | Article |
| id | doaj-art-39f43a3339514e04a879397f23399a21 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-39f43a3339514e04a879397f23399a212025-08-20T03:35:51ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/361595361595Continuous g-Frame in Hilbert C∗-ModulesMehdi Rashidi Kouchi0Akbar Nazari1Department of Mathematics, Science and Research Branch, Islamic Azad University, Kerman 7635131167, IranDepartment of Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman 7616914111, IranWe give a generalization of g-frame in Hilbert C∗-modules that was introduced by Khosravies then investigated some properties of it by Xiao and Zeng. This generalization is a natural generalization of continuous and discrete g-frames and frame in Hilbert space too. We characterize continuous g-frame g-Riesz in Hilbert C∗-modules and give some equality and inequality of these frames.http://dx.doi.org/10.1155/2011/361595 |
| spellingShingle | Mehdi Rashidi Kouchi Akbar Nazari Continuous g-Frame in Hilbert C∗-Modules Abstract and Applied Analysis |
| title | Continuous g-Frame in Hilbert C∗-Modules |
| title_full | Continuous g-Frame in Hilbert C∗-Modules |
| title_fullStr | Continuous g-Frame in Hilbert C∗-Modules |
| title_full_unstemmed | Continuous g-Frame in Hilbert C∗-Modules |
| title_short | Continuous g-Frame in Hilbert C∗-Modules |
| title_sort | continuous g frame in hilbert c∗ modules |
| url | http://dx.doi.org/10.1155/2011/361595 |
| work_keys_str_mv | AT mehdirashidikouchi continuousgframeinhilbertcmodules AT akbarnazari continuousgframeinhilbertcmodules |