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arXiv · 2309.17092

Unique Matrix Factorizations associated to Bilinear Forms and Schur Multipliers

Erik Christensen
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Abstract

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.

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Erik Christensen. 2023-09-29. Unique Matrix Factorizations associated to Bilinear Forms and Schur Multipliers. https://doi.org/10.1016/j.laa.2024.02.019

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