Schur multipliers of Schatten-von Neumann classes Sp

被引：5
|
作者：
Aleksandrov, A. B. [1 ]
Peller, V. V. [2 ,3 ]
机构：
[1] Steklov Inst Math, St Petersburg Branch, Fontanka 27, St Petersburg 191023, Russia
[2] Michigan State Univ, Dept Math, E Lansing, MI 48824 USA
[3] Peoples Friendship Univ Russia RUDN Univ, 6 Miklukho Maklaya St, Moscow 117198, Russia
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2020年 / 279卷 / 08期
基金：
俄罗斯科学基金会;
关键词：
Schur multipliers; Completely bounded Schur multipliers; Tensor products; Double operator integrals; NONCOMMUTATIVE KHINTCHINE; INEQUALITIES; HANKEL;
D O I：
10.1016/j.jfa.2020.108683
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study in this paper properties of Schur multipliers of Schatten von Neumann classes S-p. We prove that for p <= 1, Schur multipliers of S-p are necessarily completely bounded. We also introduce for p <= 1 a scale W-p of tensor products of l(infinity) and prove that matrices in W-p are Schur multipliers of S-p. We compare this sufficient condition with the sufficient condition of membership in the p-tensor product of l(infinity) spaces. (C) 2020 Elsevier Inc. All rights reserved.
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页数：25
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