2 citations · 4 across the 4 of their papers we have counts for
8 papers · 1 filter
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…
Badly approximable matrix functions and canonical factorizations
R. B. Alexeev, V. V. Peller
We continue studying the problem of analytic approximation of matrix functions. We introduce the notion of a partial canonical factorization of a badly approximable matrix function…