Unique Matrix Factorizations associated to Bilinear Forms and Schur Multipliers
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866909160631697408 |
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| author | Christensen, Erik |
| author_facet | Christensen, Erik |
| contents | Grothendieck's inequalities for operators and bilinear forms imply some factorization results for complex m x n matrices. The theory of operator spaces provides a set up which describes 4 norm optimal factorizations of Grothendieck's sort. It is shown that 3 of the optimal factorizations are uniquely determined and the remaining one is unique in some cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_17092 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Unique Matrix Factorizations associated to Bilinear Forms and Schur Multipliers Christensen, Erik Functional Analysis Operator Algebras Rings and Algebras 15A23, 15A60, 15A63, 46B25, 46L07, 47A30 Grothendieck's inequalities for operators and bilinear forms imply some factorization results for complex m x n matrices. The theory of operator spaces provides a set up which describes 4 norm optimal factorizations of Grothendieck's sort. It is shown that 3 of the optimal factorizations are uniquely determined and the remaining one is unique in some cases. |
| title | Unique Matrix Factorizations associated to Bilinear Forms and Schur Multipliers |
| topic | Functional Analysis Operator Algebras Rings and Algebras 15A23, 15A60, 15A63, 46B25, 46L07, 47A30 |
| url | https://arxiv.org/abs/2309.17092 |