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Functions of commuting contractions under perturbation
Author(s) -
Peller V. V.
Publication year - 2019
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201800232
Subject(s) - mathematics , lipschitz continuity , hilbert space , dissipative system , pure mathematics , perturbation (astronomy) , mathematical analysis , type (biology) , ecology , physics , quantum mechanics , biology
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.