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I. Introduction. A basic problem in approximation theory is to find complete direct and
converse theorems for approximation by polynomials, splines, rational functions, etc. These …

Одна из важнейших задач теории возмущений состоит в исследовании, насколько
изменятся функции f (A) от оператора A при малых возмущениях оператора. В …

192 is finite. The primary index here is~ which shows that the order of approximation is like n-
~ while the q gives a finer gradation. During the 1960's, much information [BP, B, Bu] was …

We study the problem of characterizing Hankel–Schur multipliers and Toeplitz–Schur
multipliers of Schatten–von Neumann class \boldsymbolS_p for 0<p<1. We obtain various …

This survey is an introduction to the theory of Hankel operators, a beautiful area of
mathematical analysis that is also very important in applications. We start with classical …

In this paper we study properties of the triangular projection $\mathscr {P} _n $ on the space
of $ n\times n $ matrices. The projection $\mathscr {P} _n $ annihilates the entries of an …

Рассмотрено действительное пространство Харди–Соболева на прямой, и описаны
некоторые достаточные условия принадлежности функций данному пространству …

The survey is devoted to diverse applications of Besov classes in operator theory. It is
illustrated how Besov classes are used to describe Hankel operators of Schatten--von …

1.1. Пусть-произвольная область на замкнутой комплексной плоскости C и Ê-
рациональная функция (р. ф.), полюсы которой лежат вне границы этой области …