Functions of commuting contractions under perturbation

The purpose of the paper is to obtain estimates for differences of functions of two pairs of commuting contractions on Hilbert space. In particular, Lipschitz type estimates, Hölder type estimates, Schatten–von Neumann estimates are obtained. The results generalize earlier known results for functions of self-adjoint operators, normal operators, contractions and dissipative operators. © 2019 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

Авторы
Peller V.V. 1, 2
Журнал
Mathematische Nachrichten
Издательство
Wiley-VCH Verlag
Язык
Английский
Статус
Опубликовано
Ссылка
Внешняя ссылка
DOI
10.1002/MANA.201800232
Год
2018
Организации
  • 1 Department of Mathematics, Michigan State University, East Lansing, MI 48824, United States
  • 2 Peoples' Friendship University of Russia (RUDN University), 6 Miklukho-Maklay St., Moscow, 117198, Russian Federation
Ключевые слова
46E35; 47A20; 47A55; 47A60; 47A63; Ando's theorem; commuting contractions; commuting unitary dilations; double operator integrals; Lipschitz type operator inequalities; Schatten–von Neumann classes
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