Unique matrix factorizations associated to bilinear forms and Schur multipliers
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Grothendieck's inequalities for operators and bilinear forms imply some factorization results for complex m×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.
| Original language | English |
|---|---|
| Journal | Linear Algebra and Its Applications |
| Volume | 688 |
| Pages (from-to) | 215-231 |
| ISSN | 0024-3795 |
| DOIs | |
| Publication status | Published - 2024 |
Bibliographical note
Publisher Copyright:
© 2024 Elsevier Inc.
- Bilinear forms, Completely bounded, Grothendieck inequality, Matrix factorization, Minimal norm, Schur multiplier
Research areas
ID: 384951574