On the Composition Ideals of Schatten Class Type Mappings
We study the composition ideals of multilinear and polynomial mappings generated by Schatten classes. We give some coincidence theorems for Cohen strongly 2-summing multilinear operators and factorization results like that given by Lindenstrauss-Pełczński for Hilbert Schmidt linear operators.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2016/3492934 |
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| _version_ | 1832568321482948608 |
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| author | Abdelaziz Belaada Khalil Saadi Abdelmoumen Tiaiba |
| author_facet | Abdelaziz Belaada Khalil Saadi Abdelmoumen Tiaiba |
| author_sort | Abdelaziz Belaada |
| collection | DOAJ |
| description | We study the composition ideals of multilinear and polynomial mappings generated by Schatten classes. We give some coincidence theorems for Cohen strongly 2-summing multilinear operators and factorization results like that given by Lindenstrauss-Pełczński for Hilbert Schmidt linear operators. |
| format | Article |
| id | doaj-art-dceedffa793841048aed35a9b03021ea |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-dceedffa793841048aed35a9b03021ea2025-02-03T00:59:22ZengWileyJournal of Mathematics2314-46292314-47852016-01-01201610.1155/2016/34929343492934On the Composition Ideals of Schatten Class Type MappingsAbdelaziz Belaada0Khalil Saadi1Abdelmoumen Tiaiba2Laboratoire d’Analyse Fonctionnelle et Géométrie des Espaces, M’sila University, BP 166, Ichbilia, 28003 M’sila, AlgeriaLaboratoire d’Analyse Fonctionnelle et Géométrie des Espaces, M’sila University, BP 166, Ichbilia, 28003 M’sila, AlgeriaLaboratoire d’Analyse Fonctionnelle et Géométrie des Espaces, M’sila University, BP 166, Ichbilia, 28003 M’sila, AlgeriaWe study the composition ideals of multilinear and polynomial mappings generated by Schatten classes. We give some coincidence theorems for Cohen strongly 2-summing multilinear operators and factorization results like that given by Lindenstrauss-Pełczński for Hilbert Schmidt linear operators.http://dx.doi.org/10.1155/2016/3492934 |
| spellingShingle | Abdelaziz Belaada Khalil Saadi Abdelmoumen Tiaiba On the Composition Ideals of Schatten Class Type Mappings Journal of Mathematics |
| title | On the Composition Ideals of Schatten Class Type Mappings |
| title_full | On the Composition Ideals of Schatten Class Type Mappings |
| title_fullStr | On the Composition Ideals of Schatten Class Type Mappings |
| title_full_unstemmed | On the Composition Ideals of Schatten Class Type Mappings |
| title_short | On the Composition Ideals of Schatten Class Type Mappings |
| title_sort | on the composition ideals of schatten class type mappings |
| url | http://dx.doi.org/10.1155/2016/3492934 |
| work_keys_str_mv | AT abdelazizbelaada onthecompositionidealsofschattenclasstypemappings AT khalilsaadi onthecompositionidealsofschattenclasstypemappings AT abdelmoumentiaiba onthecompositionidealsofschattenclasstypemappings |