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

Авторы
Aleksandrov A.B.1 , Peller V.V. 2, 3
Издательство
Academic Press Inc.
Номер выпуска
8
Язык
Английский
Статус
Опубликовано
Номер
108683
Том
279
Год
2020
Организации
  • 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
Ключевые слова
Completely bounded Schur multipliers; Double operator integrals; Schur multipliers; Tensor products
Дата создания
02.11.2020
Дата изменения
02.11.2020
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/64329/