Matrix Quasinorms Induced by Maximal and Minimal Vector Norms
In the set of all vector norms in Cn, there exist maximal and minimal complex norms which coincide with the real Euclidean norm in Rn. The purpose of this paper is to introduce new quasinorms defined on complex matrices. These two matrix quasinorms are induced by maximal and minimal complex vector n...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2016/5240218 |
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| _version_ | 1832562608403644416 |
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| author | Jong-Do Park |
| author_facet | Jong-Do Park |
| author_sort | Jong-Do Park |
| collection | DOAJ |
| description | In the set of all vector norms in Cn, there exist maximal and minimal complex norms which coincide with the real Euclidean norm in Rn. The purpose of this paper is to introduce new quasinorms defined on complex matrices. These two matrix quasinorms are induced by maximal and minimal complex vector norms. We also prove the dual relation between these two quasinorms. |
| format | Article |
| id | doaj-art-685bb156c28646d3a8ac6f7243d6eb36 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-685bb156c28646d3a8ac6f7243d6eb362025-02-03T01:22:12ZengWileyJournal of Function Spaces2314-88962314-88882016-01-01201610.1155/2016/52402185240218Matrix Quasinorms Induced by Maximal and Minimal Vector NormsJong-Do Park0Department of Mathematics and Research Institute for Basic Sciences, Kyung Hee University, Seoul 130-701, Republic of KoreaIn the set of all vector norms in Cn, there exist maximal and minimal complex norms which coincide with the real Euclidean norm in Rn. The purpose of this paper is to introduce new quasinorms defined on complex matrices. These two matrix quasinorms are induced by maximal and minimal complex vector norms. We also prove the dual relation between these two quasinorms.http://dx.doi.org/10.1155/2016/5240218 |
| spellingShingle | Jong-Do Park Matrix Quasinorms Induced by Maximal and Minimal Vector Norms Journal of Function Spaces |
| title | Matrix Quasinorms Induced by Maximal and Minimal Vector Norms |
| title_full | Matrix Quasinorms Induced by Maximal and Minimal Vector Norms |
| title_fullStr | Matrix Quasinorms Induced by Maximal and Minimal Vector Norms |
| title_full_unstemmed | Matrix Quasinorms Induced by Maximal and Minimal Vector Norms |
| title_short | Matrix Quasinorms Induced by Maximal and Minimal Vector Norms |
| title_sort | matrix quasinorms induced by maximal and minimal vector norms |
| url | http://dx.doi.org/10.1155/2016/5240218 |
| work_keys_str_mv | AT jongdopark matrixquasinormsinducedbymaximalandminimalvectornorms |