More on Inequalities for Weaving Frames in Hilbert Spaces
In this paper, we present several new inequalities for weaving frames in Hilbert spaces from the point of view of operator theory, which are related to a linear bounded operator induced by three Bessel sequences and a scalar in the set of real numbers. It is indicated that our results are more gener...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-02-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/7/2/141 |
| _version_ | 1818987309657227264 |
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| author | Zhong-Qi Xiang |
| author_facet | Zhong-Qi Xiang |
| author_sort | Zhong-Qi Xiang |
| collection | DOAJ |
| description | In this paper, we present several new inequalities for weaving frames in Hilbert spaces from the point of view of operator theory, which are related to a linear bounded operator induced by three Bessel sequences and a scalar in the set of real numbers. It is indicated that our results are more general and cover the corresponding results recently obtained by Li and Leng. We also give a triangle inequality for weaving frames in Hilbert spaces, which is structurally different from previous ones. |
| first_indexed | 2024-12-20T19:04:39Z |
| format | Article |
| id | doaj.art-836132de5c6245c48f5e18586c4d1b60 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-12-20T19:04:39Z |
| publishDate | 2019-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-836132de5c6245c48f5e18586c4d1b602022-12-21T19:29:18ZengMDPI AGMathematics2227-73902019-02-017214110.3390/math7020141math7020141More on Inequalities for Weaving Frames in Hilbert SpacesZhong-Qi Xiang0College of Mathematics and Computer Science, Shangrao Normal University, Shangrao 334001, ChinaIn this paper, we present several new inequalities for weaving frames in Hilbert spaces from the point of view of operator theory, which are related to a linear bounded operator induced by three Bessel sequences and a scalar in the set of real numbers. It is indicated that our results are more general and cover the corresponding results recently obtained by Li and Leng. We also give a triangle inequality for weaving frames in Hilbert spaces, which is structurally different from previous ones.https://www.mdpi.com/2227-7390/7/2/141frameweaving frameweaving frame operatoralternate dual frameHilbert space |
| spellingShingle | Zhong-Qi Xiang More on Inequalities for Weaving Frames in Hilbert Spaces Mathematics frame weaving frame weaving frame operator alternate dual frame Hilbert space |
| title | More on Inequalities for Weaving Frames in Hilbert Spaces |
| title_full | More on Inequalities for Weaving Frames in Hilbert Spaces |
| title_fullStr | More on Inequalities for Weaving Frames in Hilbert Spaces |
| title_full_unstemmed | More on Inequalities for Weaving Frames in Hilbert Spaces |
| title_short | More on Inequalities for Weaving Frames in Hilbert Spaces |
| title_sort | more on inequalities for weaving frames in hilbert spaces |
| topic | frame weaving frame weaving frame operator alternate dual frame Hilbert space |
| url | https://www.mdpi.com/2227-7390/7/2/141 |
| work_keys_str_mv | AT zhongqixiang moreoninequalitiesforweavingframesinhilbertspaces |