New Inequalities of Weaving <i>K</i>-Frames in Subspaces
In the present paper, we obtain some new inequalities for weaving <i>K</i>-frames in subspaces based on the operator methods. The inequalities are associated with a sequence of bounded complex numbers and a parameter <inline-formula> <math display="inline"> <sema...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-09-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/7/9/863 |
| _version_ | 1819067448067883008 |
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| author | Zhong-Qi Xiang |
| author_facet | Zhong-Qi Xiang |
| author_sort | Zhong-Qi Xiang |
| collection | DOAJ |
| description | In the present paper, we obtain some new inequalities for weaving <i>K</i>-frames in subspaces based on the operator methods. The inequalities are associated with a sequence of bounded complex numbers and a parameter <inline-formula> <math display="inline"> <semantics> <mrow> <mi>λ</mi> <mo>∈</mo> <mi mathvariant="double-struck">R</mi> </mrow> </semantics> </math> </inline-formula>. We also give a double inequality for weaving <i>K</i>-frames with the help of two bounded linear operators induced by <i>K</i>-dual. Facts prove that our results cover those recently obtained on weaving frames due to Li and Leng, and Xiang. |
| first_indexed | 2024-12-21T16:18:25Z |
| format | Article |
| id | doaj.art-df8417dc216c4d25837b4da9a5c05c35 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-12-21T16:18:25Z |
| publishDate | 2019-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-df8417dc216c4d25837b4da9a5c05c352022-12-21T18:57:39ZengMDPI AGMathematics2227-73902019-09-017986310.3390/math7090863math7090863New Inequalities of Weaving <i>K</i>-Frames in SubspacesZhong-Qi Xiang0College of Mathematics and Computer Science, Shangrao Normal University, Shangrao 334001, ChinaIn the present paper, we obtain some new inequalities for weaving <i>K</i>-frames in subspaces based on the operator methods. The inequalities are associated with a sequence of bounded complex numbers and a parameter <inline-formula> <math display="inline"> <semantics> <mrow> <mi>λ</mi> <mo>∈</mo> <mi mathvariant="double-struck">R</mi> </mrow> </semantics> </math> </inline-formula>. We also give a double inequality for weaving <i>K</i>-frames with the help of two bounded linear operators induced by <i>K</i>-dual. Facts prove that our results cover those recently obtained on weaving frames due to Li and Leng, and Xiang.https://www.mdpi.com/2227-7390/7/9/863weaving frameweaving <i>K</i>-frame<i>K</i>-dualpseudo-inverse |
| spellingShingle | Zhong-Qi Xiang New Inequalities of Weaving <i>K</i>-Frames in Subspaces Mathematics weaving frame weaving <i>K</i>-frame <i>K</i>-dual pseudo-inverse |
| title | New Inequalities of Weaving <i>K</i>-Frames in Subspaces |
| title_full | New Inequalities of Weaving <i>K</i>-Frames in Subspaces |
| title_fullStr | New Inequalities of Weaving <i>K</i>-Frames in Subspaces |
| title_full_unstemmed | New Inequalities of Weaving <i>K</i>-Frames in Subspaces |
| title_short | New Inequalities of Weaving <i>K</i>-Frames in Subspaces |
| title_sort | new inequalities of weaving i k i frames in subspaces |
| topic | weaving frame weaving <i>K</i>-frame <i>K</i>-dual pseudo-inverse |
| url | https://www.mdpi.com/2227-7390/7/9/863 |
| work_keys_str_mv | AT zhongqixiang newinequalitiesofweavingikiframesinsubspaces |