Add to ORKGA general procedure is derived for obtaining sufficient conditions for the similarity of operators T and T + P. This is applied to obtain sharp conditipns for the similarity of the Volterra operators J: f(x)-+ / f(y)dy and J + P where P: f(x) /+/fp(x,y)f(y)dy. By the same methods perturbations of the one sided shift operator S on LP(Ofo) by certain trace class operators P are shown to be similar to S. In the last chapter solvability conditions are obtained for the operator equation TX- XS =
Paper presented at the 4th Strathmore International Mathematics Conference (SIMC 2017), 19 - 23 June...
AbstractThe problem of the possible similarity classes of all the matrices obtained by small perturb...
AbstractAsymptotic estimates of the norms of orbits of certain operators that commute with the class...
Abstract. Necessary and sufficient conditions for a convolution Volterra operator to be similar in a...
AbstractThis paper deals with Volterra perturbations of normal operators in a separable Hilbert spac...
Let g(z) be an n-degree polynomial (n≥2). Inspired by Sarason’s result, we introduce the operator T1...
Summary: "This survey is concerned with the spectral theory of Volterra operators A_n=bigoplus^n_jb_...
Trace formulas for pairs of self-adjoint, maximal dissipative and other types of resolvent comparabl...
To every infinite lower Hessenberg matrix D is associated a linear operator on l2. In this paper we ...
The aim is to investigate and construct the difference analogs for the Volterra's operator equations...
This article is not available through ChesterRep.A fixed point theorem is used to investigate nonlin...
AbstractSome classes of partial Volterra operators acting (with respect to a real variable) on a fun...
Abstract. In this paper we study some properties of rank one perturba-tions of the unilateral shift ...
This survey is concerned with the spectral theory of Volterra operators An = ⊕nj bjJαj, αj > 0, w...
AbstractThis is a continuation of our paper [2]. We prove that for functions f in the Hölder class Λ...
Paper presented at the 4th Strathmore International Mathematics Conference (SIMC 2017), 19 - 23 June...
AbstractThe problem of the possible similarity classes of all the matrices obtained by small perturb...
AbstractAsymptotic estimates of the norms of orbits of certain operators that commute with the class...
Abstract. Necessary and sufficient conditions for a convolution Volterra operator to be similar in a...
AbstractThis paper deals with Volterra perturbations of normal operators in a separable Hilbert spac...
Let g(z) be an n-degree polynomial (n≥2). Inspired by Sarason’s result, we introduce the operator T1...
Summary: "This survey is concerned with the spectral theory of Volterra operators A_n=bigoplus^n_jb_...
Trace formulas for pairs of self-adjoint, maximal dissipative and other types of resolvent comparabl...
To every infinite lower Hessenberg matrix D is associated a linear operator on l2. In this paper we ...
The aim is to investigate and construct the difference analogs for the Volterra's operator equations...
This article is not available through ChesterRep.A fixed point theorem is used to investigate nonlin...
AbstractSome classes of partial Volterra operators acting (with respect to a real variable) on a fun...
Abstract. In this paper we study some properties of rank one perturba-tions of the unilateral shift ...
This survey is concerned with the spectral theory of Volterra operators An = ⊕nj bjJαj, αj > 0, w...
AbstractThis is a continuation of our paper [2]. We prove that for functions f in the Hölder class Λ...
Paper presented at the 4th Strathmore International Mathematics Conference (SIMC 2017), 19 - 23 June...
AbstractThe problem of the possible similarity classes of all the matrices obtained by small perturb...
AbstractAsymptotic estimates of the norms of orbits of certain operators that commute with the class...