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On the stability of the representation of finite rank operators
The stability of the representation of finite rank operators in terms of a basis is analyzed. A conditioning is introduced as a measure of the...
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On groups of finite prüfer rank III
If G is a group of finite Prüfer rank we prove that G has a characteristic subgroup K of finite index such that every finite image of its derived...
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Finite Rank Perturbations of Volterra Operators
In this chapter we introduce an important class of operators that have a characteristic matrix function in the sense of Definition...
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Compact Operators and Kernel Bundles
As a bridge between matrices (or finite rank operators) and linear operators on an infinite dimensional Hilbert space...
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On Generalized Fredholm Operators in a Right Quaternionic Hilbert Space
The purpose of this paper, is to study and investigate a larger class of operators than the Fredholm ones, is the so-called, generalized Fredholm...
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Finite Rank Perturbations of Operators of Integration
In this chapter we specify further the results of the previous chapter for the case when the Volterra operator V is an operator of integration....
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Left and Right B-Fredholm Operators
We introduce the families of left and right B-Fredholm operators in a Banach space, realize their stabilization with the help of finite-rank...
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Weighted Join Operators on Directed Trees
A rooted directed tree \({\mathscr {T}}=(V, E)\) with root...
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Operators with the Lipschitz bounded approximation property
We show that if a bounded linear operator can be approximated by a net (or sequence) of uniformly bounded finite rank Lipschitz map**s pointwisely,...
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Compact Operators
Compactness of an operator goes one step beyond continuity. Its treatment is fundamental in many areas in Applied Analysis, particularly Differential...
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Paths of means for positive operators with strongly unitarily equivalent supports
Based on the Bonnabel–Sepulchre geometric mean for fixed rank matrices, we introduced paths of matrix means corresponding to the Kubo–Ando operator...
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One-Dimensional Finite-Gap Schrödinger Operators As a Limit of Commuting Difference Operators
AbstractIn this paper we show that the one-dimensional finite-gap Schrödinger operator can be obtained via passage to the limit from a second-order...
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Multiplication operators in BV spaces
The aim of this paper is to provide necessary and sufficient conditions on the generator of a multiplication operator acting in the spaces of...
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Hyponormal Dual Toeplitz Operators on the Orthogonal Complement of the Harmonic Bergman Space
In this paper, we mainly study the hyponormality of dual Toeplitz operators on the orthogonal complement of the harmonic Bergman space. First we show...
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Truncated Toeplitz Operators
Truncated Toeplitz operators are compressions of Toeplitz operators on model spaces; they have received much attention in the last years. This survey...
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