Schur multipliers of Schatten–von Neumann classes Sp

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. © 2020

Authors
Aleksandrov A.B.1 , Peller V.V. 2, 3
Journal
Journal of Functional Analysis
Publisher
Academic Press Inc.
Number of issue
8
Language
English
Status
Published
Link
External link
DOI
10.1016/j.jfa.2020.108683
Number
108683
Volume
279
Year
2020
Organizations
  • 1 St. Petersburg Branch, Steklov Institute of Mathematics, Fontanka 27, St. Petersburg, 191023, Russian Federation
  • 2 Department of Mathematics, Michigan State University, East Lansing, MI 48824, United States
  • 3 Peoples' Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St., Moscow, 117198, Russian Federation
Keywords
Completely bounded Schur multipliers; Double operator integrals; Schur multipliers; Tensor products
Date of creation
02.11.2020
Date of change
02.11.2020
Short link
https://repository.rudn.ru/en/records/article/record/64329/
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