A Bauer-Hausdorff Matrix Inequality
We present a biorthogonal process for two subspaces of ℂn. Applying this process, we derive a matrix inequality, which generalizes the Bauer-Hausdorff inequality for vectors and includes the Wang-IP inequality for matrices. Meanwhile, we obtain its equivalent matrix inequality.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/894824 |
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| _version_ | 1832558523659059200 |
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| author | Zizong Yan Shanhe Wu |
| author_facet | Zizong Yan Shanhe Wu |
| author_sort | Zizong Yan |
| collection | DOAJ |
| description | We present a biorthogonal process for two subspaces of ℂn. Applying this process, we derive a matrix inequality, which generalizes the Bauer-Hausdorff inequality for vectors and includes the Wang-IP inequality for matrices. Meanwhile, we obtain its equivalent matrix inequality. |
| format | Article |
| id | doaj-art-4ce96468c0c1411f83267fed1afb628f |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-4ce96468c0c1411f83267fed1afb628f2025-02-03T01:32:09ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/894824894824A Bauer-Hausdorff Matrix InequalityZizong Yan0Shanhe Wu1Department of Information and Mathematics, Yangtze University, Jingzhou, Hubei 434024, ChinaDepartment of Mathematics and Computer Science, Longyan University, Longyan, Fujian 364012, ChinaWe present a biorthogonal process for two subspaces of ℂn. Applying this process, we derive a matrix inequality, which generalizes the Bauer-Hausdorff inequality for vectors and includes the Wang-IP inequality for matrices. Meanwhile, we obtain its equivalent matrix inequality.http://dx.doi.org/10.1155/2013/894824 |
| spellingShingle | Zizong Yan Shanhe Wu A Bauer-Hausdorff Matrix Inequality Abstract and Applied Analysis |
| title | A Bauer-Hausdorff Matrix Inequality |
| title_full | A Bauer-Hausdorff Matrix Inequality |
| title_fullStr | A Bauer-Hausdorff Matrix Inequality |
| title_full_unstemmed | A Bauer-Hausdorff Matrix Inequality |
| title_short | A Bauer-Hausdorff Matrix Inequality |
| title_sort | bauer hausdorff matrix inequality |
| url | http://dx.doi.org/10.1155/2013/894824 |
| work_keys_str_mv | AT zizongyan abauerhausdorffmatrixinequality AT shanhewu abauerhausdorffmatrixinequality AT zizongyan bauerhausdorffmatrixinequality AT shanhewu bauerhausdorffmatrixinequality |