This article is cited in 2 papers

Brief communications

A Criterion for the Unconditional Basis Property of Eigenvectors for Finite-Rank Perturbations of Volterra Operators

G. M. Gubreev^a, A. A. Tarasenko<sup>b

a</sup> Poltava National Technical University
^b Universidad Autonoma del Estado de Hidalgo, Mexico

Abstract: A criterion for the unconditional basis property of eigenvectors for finite-rank perturbations of Volterra operators is given. Considerations are based on functional models for non-self-adjoint operators and on the technique of the Muckenhoupt matrix weights.

Keywords: unconditional basis, non-self-adjoint operators, entire inner matrix functions, Muckenhoupt matrix weights.

UDC: 517.518

Received: 13.09.2010

DOI: 10.4213/faa3034

 English version: Functional Analysis and Its Applications, 2011, 45:2, 149–153

Bibliographic databases:

• 
• 
• 
•