Unique matrix factorizations associated to bilinear forms and Schur multipliers

Research output: Contribution to journal › Journal article › Research › peer-review

Standard

Unique matrix factorizations associated to bilinear forms and Schur multipliers. / Christensen, Erik.

In: Linear Algebra and Its Applications, Vol. 688, 2024, p. 215-231.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Christensen, E 2024, 'Unique matrix factorizations associated to bilinear forms and Schur multipliers', Linear Algebra and Its Applications, vol. 688, pp. 215-231. https://doi.org/10.1016/j.laa.2024.02.019

APA

Christensen, E. (2024). Unique matrix factorizations associated to bilinear forms and Schur multipliers. Linear Algebra and Its Applications, 688, 215-231. https://doi.org/10.1016/j.laa.2024.02.019

Vancouver

Christensen E. Unique matrix factorizations associated to bilinear forms and Schur multipliers. Linear Algebra and Its Applications. 2024;688:215-231. https://doi.org/10.1016/j.laa.2024.02.019

Author

Christensen, Erik. / Unique matrix factorizations associated to bilinear forms and Schur multipliers. In: Linear Algebra and Its Applications. 2024 ; Vol. 688. pp. 215-231.

Bibtex

@article{1e4378b886d34d95aedb67f690070736,
title = "Unique matrix factorizations associated to bilinear forms and Schur multipliers",
abstract = "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.",
keywords = "Bilinear forms, Completely bounded, Grothendieck inequality, Matrix factorization, Minimal norm, Schur multiplier",
author = "Erik Christensen",
note = "Publisher Copyright: {\textcopyright} 2024 Elsevier Inc.",
year = "2024",
doi = "10.1016/j.laa.2024.02.019",
language = "English",
volume = "688",
pages = "215--231",
journal = "Linear Algebra and Its Applications",
issn = "0024-3795",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Unique matrix factorizations associated to bilinear forms and Schur multipliers

AU - Christensen, Erik

N1 - Publisher Copyright: © 2024 Elsevier Inc.

PY - 2024

Y1 - 2024

N2 - 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.

AB - 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.

KW - Bilinear forms

KW - Completely bounded

KW - Grothendieck inequality

KW - Matrix factorization

KW - Minimal norm

KW - Schur multiplier

U2 - 10.1016/j.laa.2024.02.019

DO - 10.1016/j.laa.2024.02.019

M3 - Journal article

AN - SCOPUS:85186270370

VL - 688

SP - 215

EP - 231

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

SN - 0024-3795

ER -

ID: 384951574