2019 European Conference on Mobile Robots, ECMR 2019 - Proceedings.
Institute of Electrical and Electronics Engineers Inc..
2019.
On a Trace Formula for Functions of Noncommuting Operators
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. © 2019, Pleiades Publishing, Ltd.
Authors
Aleksandrov A.B.1
,
Peller V.V.
2,
3
,
Potapov D.S.4
Journal
Number of issue
3-4
Language
English
Pages
481-487
Status
Published
Link
Volume
106
Year
2019
Organizations
- 1 St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, 191023, Russian Federation
- 2 Department of Mathematics, Michigan State University, East Lansing, MI 48824, United States
- 3 RUDN University, Moscow, 117198, Russian Federation
- 4 School of Mathematics and Statistics, University of New South Wales, Kensington, NSW 2052, Australia
Keywords
Lifshits-Krein trace formula; operators Lipschitz functions; trace; trace class operators
Date of creation
24.12.2019
Date of change
24.12.2019
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Other records
Mathematical Notes.
Vol. 106.
2019.
P. 488-500