V. Peller

activity

20012005

most citedAn extension of the Koplienko-Neidhardt trace formulae

2 citations · 4 across the 4 of their papers we have counts for

collaborators

Showing 2001Show all

5 papers · 1 filter

math.FA2001

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 $L^{2} (R_{+})$ of the form $(Q_\f f)(x)=\int_0^\be\f (\max\{x,y\})f(y)dy$. We discuss necessary and sufficient conditions on $ϕ$ …

math.FA2001

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 $0 < p < 1$ . We obtain various sharp necessary…

math.FA2001

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…

math.FA2001

Unitary interpolants and factorization indices of matrix functions

R. B. Alexeev, V. V. Peller

For an $n \times n$ bounded matrix function $Φ$ we study unitary interpolants $U$ , i.e., unitary-valued functions $U$ such that $U^(j) = Φ^(j)$ , $j < 0$ . We are looking for unita…

math.FA2001

Invariance properties of thematic factorizations of matrix functions

R. B. Alexeev, V. V. Peller

We study the problem of invariance of indices of thematic factorizations. Such factorizations were introduced in [PY1] for studying superoptimal approximation by bounded analytic m…