65 citations · 140 across the 49 of their papers we have counts for
5 papers · 2 filters
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…
Unitary interpolants and factorization indices of matrix functions
R. B. Alexeev, V. V. Peller
For an bounded matrix function we study unitary interpolants , i.e., unitary-valued functions such that , . We are looking for unita…
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…