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- Title
On a Trace Formula for Functions of Noncommuting Operators.
- Authors
Aleksandrov, A. B.; Peller, V. V.; Potapov, D. S.
- Abstract
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.
- Subjects
TRACE formulas; OPERATOR functions; CLASS differences
- Publication
Mathematical Notes, 2019, Vol 106, Issue 3/4, p481
- ISSN
0001-4346
- Publication type
Article
- DOI
10.1134/S0001434619090189