We consider functions of pairs of noncommuting contractions on Hilbert space and study the problem as to which functions we have Lipschitz type estimates in Schatten-von Neumann norms. We prove that if belongs to the Besov class of analytic functions in the bidisc, then we have a Lipschitz type estimate for functions of pairs of not necessarily commuting contractions in the Schatten-von Neumann norms. On the other hand, we show that for functions in, there are no such Lipschitz type estimates for, nor in the operator norm.
Original language | English |
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Pages (from-to) | 659-682 |
Number of pages | 24 |
Journal | Izvestiya Mathematics |
Volume | 84 |
Issue number | 4 |
DOIs | |
State | Published - Aug 2020 |
Externally published | Yes |
ID: 87314515