Schur multipliers of Schatten–von Neumann classes Sp. / Peller, V. V.; Александров, Алексей Борисович.
In: Journal of Functional Analysis, Vol. 279, No. 8, 108683, 01.11.2020.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Schur multipliers of Schatten–von Neumann classes Sp
AU - Peller, V. V.
AU - Александров, Алексей Борисович
N1 - Publisher Copyright: © 2020
PY - 2020/11/1
Y1 - 2020/11/1
N2 - We study in this paper properties of Schur multipliers of Schatten von Neumann classes Sp. We prove that for p≤1, Schur multipliers of Sp are necessarily completely bounded. We also introduce for p≤1 a scale Wp of tensor products of ℓ∞ and prove that matrices in Wp are Schur multipliers of Sp. We compare this sufficient condition with the sufficient condition of membership in the p-tensor product of ℓ∞ spaces.
AB - We study in this paper properties of Schur multipliers of Schatten von Neumann classes Sp. We prove that for p≤1, Schur multipliers of Sp are necessarily completely bounded. We also introduce for p≤1 a scale Wp of tensor products of ℓ∞ and prove that matrices in Wp are Schur multipliers of Sp. We compare this sufficient condition with the sufficient condition of membership in the p-tensor product of ℓ∞ spaces.
KW - Completely bounded Schur multipliers
KW - Double operator integrals
KW - Schur multipliers
KW - Tensor products
UR - http://www.scopus.com/inward/record.url?scp=85086120506&partnerID=8YFLogxK
U2 - 10.1016/j.jfa.2020.108683
DO - 10.1016/j.jfa.2020.108683
M3 - Article
AN - SCOPUS:85086120506
VL - 279
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
SN - 0022-1236
IS - 8
M1 - 108683
ER -
ID: 87314694