The main result of the paper is that the Lifshits-Krein trace formula cannot be generalized to the case of functions of noncommuting self-adjoint operators. To prove this, we show that, for pairs (A1, B1) and (A2, B2) of bounded self-adjoint operators with trace class differences A2-A1 and B2-B1, it is impossible to estimate the modulus of the trace of the difference f (A2, B2) - f (A1, B1) in terms of the norm of f in the Lipschitz class.
Original language | English |
---|---|
Pages (from-to) | 481-487 |
Number of pages | 7 |
Journal | Mathematical Notes |
Volume | 106 |
Issue number | 3-4 |
DOIs | |
State | Published - 1 Sep 2019 |
Externally published | Yes |
ID: 87314853