New forms of bilateral inequalities for K-g-frames
In this work, several bilateral inequalities for KK-gg-frames in subspaces are established, drawing support from two kinds of operators induced, respectively, by the KK-gg-frame itself and the KK-dual pair, which, compared with previous ones concerning this topic, possess novel structures. It is ind...
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| Format: | Article |
| Language: | English |
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De Gruyter
2025-03-01
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| Series: | Demonstratio Mathematica |
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| Online Access: | https://doi.org/10.1515/dema-2025-0110 |
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| _version_ | 1849394635403689984 |
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| author | Xiang Zhong-Qi |
| author_facet | Xiang Zhong-Qi |
| author_sort | Xiang Zhong-Qi |
| collection | DOAJ |
| description | In this work, several bilateral inequalities for KK-gg-frames in subspaces are established, drawing support from two kinds of operators induced, respectively, by the KK-gg-frame itself and the KK-dual pair, which, compared with previous ones concerning this topic, possess novel structures. It is indicated that new types of inequalities for some other generalized frames can be naturally presented following our approaches. |
| format | Article |
| id | doaj-art-d5b24d3a71c742f9a7f16004b08801a5 |
| institution | Kabale University |
| issn | 2391-4661 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Demonstratio Mathematica |
| spelling | doaj-art-d5b24d3a71c742f9a7f16004b08801a52025-08-20T03:39:56ZengDe GruyterDemonstratio Mathematica2391-46612025-03-0158134136610.1515/dema-2025-0110New forms of bilateral inequalities for K-g-framesXiang Zhong-Qi0School of Mathematics and Computer, Xinyu University, Xinyu, Jiangxi 338004, P. R. ChinaIn this work, several bilateral inequalities for KK-gg-frames in subspaces are established, drawing support from two kinds of operators induced, respectively, by the KK-gg-frame itself and the KK-dual pair, which, compared with previous ones concerning this topic, possess novel structures. It is indicated that new types of inequalities for some other generalized frames can be naturally presented following our approaches.https://doi.org/10.1515/dema-2025-0110k-dual pairpseudo-inverse operatorbilateral inequality42c1542c4046c5047b40 |
| spellingShingle | Xiang Zhong-Qi New forms of bilateral inequalities for K-g-frames Demonstratio Mathematica k-dual pair pseudo-inverse operator bilateral inequality 42c15 42c40 46c50 47b40 |
| title | New forms of bilateral inequalities for K-g-frames |
| title_full | New forms of bilateral inequalities for K-g-frames |
| title_fullStr | New forms of bilateral inequalities for K-g-frames |
| title_full_unstemmed | New forms of bilateral inequalities for K-g-frames |
| title_short | New forms of bilateral inequalities for K-g-frames |
| title_sort | new forms of bilateral inequalities for k g frames |
| topic | k-dual pair pseudo-inverse operator bilateral inequality 42c15 42c40 46c50 47b40 |
| url | https://doi.org/10.1515/dema-2025-0110 |
| work_keys_str_mv | AT xiangzhongqi newformsofbilateralinequalitiesforkgframes |