Unique matrix factorizations associated to bilinear forms and Schur multipliers
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Unique matrix factorizations associated to bilinear forms and Schur multipliers. / Christensen, Erik.
I: Linear Algebra and Its Applications, Bind 688, 2024, s. 215-231.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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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