Clarkson-McCarthy inequalities for l p -spaces of operators in Schatten ideals
In this paper we obtain generalized Clarkson-McCarthy inequalities for spaces lq(Sp) of operators from Schatten ideals Sp. We show that all Clarkson-McCarthy type inequalities are, in fact, some estimates on the norms of operators acting on the spaces lq(Sp) or from one such space into another. We a...
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| Format: | Article |
| Language: | English |
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2014
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| Online Access: | https://repository.londonmet.ac.uk/1012/1/FORMISANO%2C%20KISSIN%2C%20Offprint%20Clarkson-McCarthy%20inequalities.pdf |
| _version_ | 1804071596498878464 |
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| author | Formisano, Teresa Kissin, Edward |
| author_facet | Formisano, Teresa Kissin, Edward |
| author_sort | Formisano, Teresa |
| collection | LMU |
| description | In this paper we obtain generalized Clarkson-McCarthy inequalities for spaces lq(Sp) of operators from Schatten ideals Sp. We show that all Clarkson-McCarthy type inequalities are, in fact, some estimates on the norms of operators acting on the spaces lq(Sp) or from one such space into another. We also extend some inequalities for partitioned operators and for Cartesian decomposition of operators. |
| first_indexed | 2024-07-09T03:45:46Z |
| format | Article |
| id | oai:repository.londonmet.ac.uk:1012 |
| institution | London Metropolitan University |
| language | English |
| last_indexed | 2024-07-09T03:45:46Z |
| publishDate | 2014 |
| record_format | eprints |
| spelling | oai:repository.londonmet.ac.uk:10122020-06-22T14:41:45Z http://repository.londonmet.ac.uk/1012/ Clarkson-McCarthy inequalities for l p -spaces of operators in Schatten ideals Formisano, Teresa Kissin, Edward 510 Mathematics In this paper we obtain generalized Clarkson-McCarthy inequalities for spaces lq(Sp) of operators from Schatten ideals Sp. We show that all Clarkson-McCarthy type inequalities are, in fact, some estimates on the norms of operators acting on the spaces lq(Sp) or from one such space into another. We also extend some inequalities for partitioned operators and for Cartesian decomposition of operators. 2014-04-18 Article PeerReviewed text en https://repository.londonmet.ac.uk/1012/1/FORMISANO%2C%20KISSIN%2C%20Offprint%20Clarkson-McCarthy%20inequalities.pdf Formisano, Teresa and Kissin, Edward (2014) Clarkson-McCarthy inequalities for l p -spaces of operators in Schatten ideals. Integral Equations and Operator Theory, 79 (2). pp. 151-173. ISSN 0378-620X http://dx.doi.org/10.1007/s00020-014-2145-x 10.1007/s00020-014-2145-x |
| spellingShingle | 510 Mathematics Formisano, Teresa Kissin, Edward Clarkson-McCarthy inequalities for l p -spaces of operators in Schatten ideals |
| title | Clarkson-McCarthy inequalities for l p -spaces of operators in Schatten ideals |
| title_full | Clarkson-McCarthy inequalities for l p -spaces of operators in Schatten ideals |
| title_fullStr | Clarkson-McCarthy inequalities for l p -spaces of operators in Schatten ideals |
| title_full_unstemmed | Clarkson-McCarthy inequalities for l p -spaces of operators in Schatten ideals |
| title_short | Clarkson-McCarthy inequalities for l p -spaces of operators in Schatten ideals |
| title_sort | clarkson mccarthy inequalities for l p spaces of operators in schatten ideals |
| topic | 510 Mathematics |
| url | https://repository.londonmet.ac.uk/1012/1/FORMISANO%2C%20KISSIN%2C%20Offprint%20Clarkson-McCarthy%20inequalities.pdf |
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