Column bounded matrices and Grothendieck's inequalities
Functional Analysis
2025-05-09 v1 Mathematical Physics
math.MP
Operator Algebras
Quantum Algebra
Abstract
It follows from Grothendieck's little inequality that to any complex (m x n) matrix X of column norm at most 1, and an 0 <e <1, there exist a natural number q, an (m x q) matrix C with and an (q x n ) matrix Z with entries in the complex torus such that X= q(CZ). Both of Grothendieck's complex inequalities follow from this factorization result.
Keywords
Cite
@article{arxiv.2505.04545,
title = {Column bounded matrices and Grothendieck's inequalities},
author = {Erik Christensen},
journal= {arXiv preprint arXiv:2505.04545},
year = {2025}
}