THE IMPACT OF TEMPERATURE ON THE DEGREE OF STRUCTURIZATION OF WATER OF DIFFERENT ISOTOPE COMPOSITION
Article
Journal of Water Chemistry and Technology.
Vol. 39.
2017.
P. 185-190
Analytic operator Lipschitz functions in the disk and a trace formula for functions of contractions
In this paper we prove that for an arbitrary pair {T1, T0} of contractions on Hilbert space with trace class difference, there exists a function ξ in L1(T) (called a spectral shift function for the pair {T1, T0}) such that the trace formula trace(f(T1) − f(T0)) = ∫Tfdζ holds for an arbitrary operator Lipschitz function f analytic in the unit disk. © 2017, Springer Science+Business Media, LLC.
Authors
Malamud M.M.
1,
2
,
Neidhardt H.3
,
Peller V.V.
2,
4
Number of issue
3
Language
English
Pages
185-203
Status
Published
Link
Volume
51
Year
2017
Organizations
- 1 Institute of Applied Mathematics and Mechanics NAS of Ukraine, Donetsk, Ukraine
- 2 People’s Friendship University of Russia (RUDN University), Moscow, Russian Federation
- 3 Institut für Angewandte Analysis und Stochastik, Berlin, Germany
- 4 Department of Mathematics, Michigan State UniversityMI, United States
Keywords
contraction; dissipative operator; operator Lipschitz functions; perturbation determinant; spectral shift function; trace formulae
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Other records
Siberian Mathematical Journal.
Vol. 58.
2017.
P. 649-662