Geodesic
A Criterion for the Unconditional Basis Property of Eigenvectors for Finite-Rank Perturbations of Volterra Operators
Funkcionalʹnyj analiz i ego priloženiâ, Tome 45 (2011) no. 2, pp. 86-91

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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. 
@article{FAA_2011_45_2_a5,
     author = {G. M. Gubreev and A. A. Tarasenko},
     title = {A {Criterion} for the {Unconditional} {Basis} {Property} of {Eigenvectors} for {Finite-Rank} {Perturbations} of {Volterra} {Operators}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {86--91},
     publisher = {mathdoc},
     volume = {45},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2011_45_2_a5/}
}
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G. M. Gubreev; A. A. Tarasenko. A Criterion for the Unconditional Basis Property of Eigenvectors for Finite-Rank Perturbations of Volterra Operators. Funkcionalʹnyj analiz i ego priloženiâ, Tome 45 (2011) no. 2, pp. 86-91. http://geodesic.mathdoc.fr/item/FAA_2011_45_2_a5/