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Functions of commuting contractions under perturbation |
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| Authors: | V. V. Peller |
| Abstract: | 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. |
| Keywords: | Ando's theorem commuting contractions commuting unitary dilations double operator integrals Lipschitz type operator inequalities Schatten– von Neumann classes 46E35 47A20 47A55 47A60 47A63 |