Unique Matrix Factorizations associated to Bilinear Forms and Schur Multipliers
Functional Analysis
2024-04-05 v1 Operator Algebras
Rings and Algebras
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.
Cite
@article{arxiv.2309.17092,
title = {Unique Matrix Factorizations associated to Bilinear Forms and Schur Multipliers},
author = {Erik Christensen},
journal= {arXiv preprint arXiv:2309.17092},
year = {2024}
}