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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

Harvard

Peller, VV & Александров, АБ 2020, 'Schur multipliers of Schatten–von Neumann classes Sp', Journal of Functional Analysis, vol. 279, no. 8, 108683. https://doi.org/10.1016/j.jfa.2020.108683

APA

Peller, V. V., & Александров, А. Б. (2020). Schur multipliers of Schatten–von Neumann classes Sp. Journal of Functional Analysis, 279(8), [108683]. https://doi.org/10.1016/j.jfa.2020.108683

Vancouver

Peller VV, Александров АБ. Schur multipliers of Schatten–von Neumann classes Sp. Journal of Functional Analysis. 2020 Nov 1;279(8). 108683. https://doi.org/10.1016/j.jfa.2020.108683

Author

Peller, V. V. ; Александров, Алексей Борисович. / Schur multipliers of Schatten–von Neumann classes Sp. In: Journal of Functional Analysis. 2020 ; Vol. 279, No. 8.

BibTeX

@article{e41dc9eda01c476cac9c9f0561eb338e,
title = "Schur multipliers of Schatten–von Neumann classes Sp",
abstract = "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.",
keywords = "Completely bounded Schur multipliers, Double operator integrals, Schur multipliers, Tensor products",
author = "Peller, {V. V.} and Александров, {Алексей Борисович}",
note = "Publisher Copyright: {\textcopyright} 2020",
year = "2020",
month = nov,
day = "1",
doi = "10.1016/j.jfa.2020.108683",
language = "English",
volume = "279",
journal = "Journal of Functional Analysis",
issn = "0022-1236",
publisher = "Elsevier",
number = "8",

}

RIS

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