Bilinear forms, Schur multipliers, complete boundedness and duality
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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
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TY - JOUR
T1 - Bilinear forms, Schur multipliers, complete boundedness and duality
AU - Christensen, Erik
N1 - Publisher Copyright: © 2023 Mathematica Scandinavica. All rights reserved.
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