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.

引用

页数：25