Random trilinear forms and the Schur multiplication of tensors
We obtain estimates for the distribution of the norm of the random trilinear form A:ℓrM×ℓpN×ℓqK→ℂ, defined by A(ei,ej,ek)=aijk, where the aijk's are uniformly bounded, independent, mean zero random variables. As an application, we make progress on the problem when ℓr⊗⌣ℓp⊗⌣ℓq is a Banach algebra...
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| Format: | Article |
| Language: | English |
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Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171200000715 |
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| _version_ | 1832556287039111168 |
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| author | Ibrahim Almasri Jinlu Li Andrew Tonge |
| author_facet | Ibrahim Almasri Jinlu Li Andrew Tonge |
| author_sort | Ibrahim Almasri |
| collection | DOAJ |
| description | We obtain estimates for the distribution of the norm of the random
trilinear form A:ℓrM×ℓpN×ℓqK→ℂ, defined by A(ei,ej,ek)=aijk, where the aijk's are uniformly bounded, independent, mean zero
random variables. As an application, we make progress on the
problem when ℓr⊗⌣ℓp⊗⌣ℓq is a Banach algebra under the Schur multiplication. |
| format | Article |
| id | doaj-art-9fe77c5fdab347f3a0ba65f611e48f9e |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-9fe77c5fdab347f3a0ba65f611e48f9e2025-02-03T05:45:47ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-01231697610.1155/S0161171200000715Random trilinear forms and the Schur multiplication of tensorsIbrahim Almasri0Jinlu Li1Andrew Tonge2College of Engineering and Technology, The West Bank, Hebron, Palestinian AuthorityMathematics Department, Shawnee State University, Portsmouth 45662, OH, USADepartment of Mathematics and Computer Science, Kent State University, Kent 44242, OH, USAWe obtain estimates for the distribution of the norm of the random trilinear form A:ℓrM×ℓpN×ℓqK→ℂ, defined by A(ei,ej,ek)=aijk, where the aijk's are uniformly bounded, independent, mean zero random variables. As an application, we make progress on the problem when ℓr⊗⌣ℓp⊗⌣ℓq is a Banach algebra under the Schur multiplication.http://dx.doi.org/10.1155/S0161171200000715Random tensorsSchur multiplication. |
| spellingShingle | Ibrahim Almasri Jinlu Li Andrew Tonge Random trilinear forms and the Schur multiplication of tensors International Journal of Mathematics and Mathematical Sciences Random tensors Schur multiplication. |
| title | Random trilinear forms and the Schur multiplication of tensors |
| title_full | Random trilinear forms and the Schur multiplication of tensors |
| title_fullStr | Random trilinear forms and the Schur multiplication of tensors |
| title_full_unstemmed | Random trilinear forms and the Schur multiplication of tensors |
| title_short | Random trilinear forms and the Schur multiplication of tensors |
| title_sort | random trilinear forms and the schur multiplication of tensors |
| topic | Random tensors Schur multiplication. |
| url | http://dx.doi.org/10.1155/S0161171200000715 |
| work_keys_str_mv | AT ibrahimalmasri randomtrilinearformsandtheschurmultiplicationoftensors AT jinluli randomtrilinearformsandtheschurmultiplicationoftensors AT andrewtonge randomtrilinearformsandtheschurmultiplicationoftensors |