84 citations · 312 across the 28 of their papers we have counts for
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Real spectral shift functions for pairs of contractions and pairs of dissipative operators
M. M. Malamud, H. Neidhardt, V. V. Peller
Recently the authors solved a long-standing problem and showed that for an arbitrary pair of contractions on Hilbert space with trace class difference has an integrable spectral sh…
Operator-Norm Convergence of the Trotter Product Formula on Hilbert and Banach Spaces: A Short Survey
Hagen Neidhardt, Artur Stephan, Valentin Zagrebnov
We give a review of results on the operator-norm convergence of the Trotter product formula on Hilbert and Banach spaces, which is focused on the problem of its convergence rates.…
Trotter product formula and linear evolution equations on Hilbert spaces On the occasion of the 100th birthday of Tosio Kato
Hagen Neidhardt, Artur Stephan, Valentin Zagrebnov
The paper is devoted to evolution equations of the form t u(t) = --(A + B(t))u(t), t I = [0, T ], on separable Hilbert spaces where A is a non-negative s…
Absolute continuity of spectral shift
Mark Malamud, Hagen Neidhardt, Vladimir Peller
In this paper we develop the method of double operator integrals to prove trace formulae for functions of contractions, dissipative operators, unitary operators and self-adjoint op…
Analytic operator Lipschitz functions in the disk and a trace formula for functions of contractions
M. M. Malamud, H. Neidhardt, V. V. Peller
In this paper we prove that for an arbitrary pair of contractions on Hilbert space with trace class difference, there exists a function in $L^1({\Bbb T…
A trace formula for functions of contractions and analytic operator Lipschitz functions
Mark Malamud, Hagen Neidhardt, Vladimir Peller
In this note we study the problem of evaluating the trace of , where and are contractions on Hilbert space with trace class difference, i.e., $T-R\in\boldsymbol{…