Journal of Social Sciences Research. Vol. 2018. 2018. P.. 144-148
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
Authors
Peller V.V. 1, 2
Journal
Publisher
Wiley-VCH Verlag
Language
English
State
Published
Link
Year
2018
Organizations
- 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
Keywords
46E35; 47A20; 47A55; 47A60; 47A63; Ando's theorem; commuting contractions; commuting unitary dilations; double operator integrals; Lipschitz type operator inequalities; Schatten–von Neumann classes
Share
Other records
Electronic Journal of Differential Equations. Vol. 2018. 2018. P.. 1-8