2 citations · 4 across the 4 of their papers we have counts for
9 papers
Multiple operator integrals and higher operator derivatives
V. V. Peller
In this paper we consider the problem of the existence of higher derivatives of the function $t\mapsto\f(A+tK)$, where $\f$ is a function on the real line, is a self-adjoint op…
Approximation by analytic operator functions. Factorizations and very badly approximable functions
V. V. Peller, S. R. Treil
This is a continuation of our earlier paper \cite{PT3}. We consider here operator-valued functions (or infinite matrix functions) on the unit circle $\T$ and study the problem of a…
An extension of the Koplienko-Neidhardt trace formulae
Vladimir Peller
Koplienko [Ko] found a trace formula for perturbations of self-adjoint operators by operators of Hilbert Schmidt class $\bS_2$. A similar formula in the case of unitary operators w…
Distorted Hankel integral operators
A. B. Aleksandrov, V. V. Peller
For $\a,\b>0$ and for a locally integrable function (or, more generally, a distribution) $\f$ on $(0,\be)$, we study integral ooperators ${\frak G}^{\a,\b}_\f$ on defin…
An Interesting Class of Operators with unusual Schatten-von Neumann behavior
A. B. Aleksandrov, S. Janson, V. V. Peller +1
We consider the class of integral operators $Q_\f$ on of the form $(Q_\f f)(x)=\int_0^\be\f (\max\{x,y\})f(y)dy$. We discuss necessary and sufficient conditions on …
Hankel and Toeplitz-Schur Multipliers
A. B. Aleksandrov, V. V. Peller
We study the problem of characterizing Hankel-Schur multipliers and Toeplitz-Schur multipliers of Schatten-von Neumann class $\bS_p$ for . We obtain various sharp necessary…