Bilinear forms, Schur multipliers, complete boundedness and duality

Institut for Matematiske Fag

Bilinear forms, Schur multipliers, complete boundedness and duality

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Standard

Bilinear forms, Schur multipliers, complete boundedness and duality. / Christensen, Erik.

I: Mathematica Scandinavica, Bind 129, Nr. 3, 2023, s. 543-569.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Christensen, E 2023, 'Bilinear forms, Schur multipliers, complete boundedness and duality', Mathematica Scandinavica, bind 129, nr. 3, s. 543-569. https://doi.org/10.7146/math.scand.a-140205

APA

Christensen, E. (2023). Bilinear forms, Schur multipliers, complete boundedness and duality. Mathematica Scandinavica, 129(3), 543-569. https://doi.org/10.7146/math.scand.a-140205

Vancouver

Christensen E. Bilinear forms, Schur multipliers, complete boundedness and duality. Mathematica Scandinavica. 2023;129(3):543-569. https://doi.org/10.7146/math.scand.a-140205

Author

Christensen, Erik. / Bilinear forms, Schur multipliers, complete boundedness and duality. I: Mathematica Scandinavica. 2023 ; Bind 129, Nr. 3. s. 543-569.

Bibtex

@article{ae1d3e0b722143a78bd49437aa43c371,

title = "Bilinear forms, Schur multipliers, complete boundedness and duality",

abstract = "Grothendieck{\textquoteright}s inequalities for operators and bilinear forms imply some factorization results for complex m × n matrices. Based on the theory of operator spaces and completely bounded maps we present norm optimal versions of these results and two norm optimal factorization results related to the Schur product. We show that the spaces of bilinear forms and of Schur multipliers are conjugate duals to each other with respect to their completely bounded norms.",

author = "Erik Christensen",

year = "2023",

doi = "10.7146/math.scand.a-140205",

language = "English",

volume = "129",

pages = "543--569",

journal = "Mathematica Scandinavica",

issn = "0025-5521",

publisher = "Aarhus Universitet * Mathematica Scandinavica",

number = "3",

}

RIS

TY - JOUR

T1 - Bilinear forms, Schur multipliers, complete boundedness and duality

AU - Christensen, Erik

PY - 2023

Y1 - 2023

N2 - Grothendieck’s inequalities for operators and bilinear forms imply some factorization results for complex m × n matrices. Based on the theory of operator spaces and completely bounded maps we present norm optimal versions of these results and two norm optimal factorization results related to the Schur product. We show that the spaces of bilinear forms and of Schur multipliers are conjugate duals to each other with respect to their completely bounded norms.

AB - Grothendieck’s inequalities for operators and bilinear forms imply some factorization results for complex m × n matrices. Based on the theory of operator spaces and completely bounded maps we present norm optimal versions of these results and two norm optimal factorization results related to the Schur product. We show that the spaces of bilinear forms and of Schur multipliers are conjugate duals to each other with respect to their completely bounded norms.

U2 - 10.7146/math.scand.a-140205

DO - 10.7146/math.scand.a-140205

M3 - Journal article

AN - SCOPUS:85177475436

VL - 129

SP - 543

EP - 569

JO - Mathematica Scandinavica

JF - Mathematica Scandinavica

SN - 0025-5521

IS - 3

ER -

ID: 374450709