On Multiple Bases of Eigen and Associated Vectors of Operator Pencils in the Hilbert Spaces
Pure and Applied Mathematics Journal
Volume 4, Issue 4-1, August 2015, Pages: 27-32
Received: May 4, 2015;
Accepted: May 19, 2015;
Published: Aug. 21, 2015
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Rakhshanda Dzhabarzadeh, Department of functional analysis. Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan
It is proved the theorem about of multiple basis of eigen and associated vectors of the operator pencil, non-linear depending on parameter in the Hilbert space. This work is the generalization of existing results on the multiple completeness of the eigen and associated vectors of polynomial pencils, rationally depending on parameters. At the proof the author uses the methods of spectral theory of operators
On Multiple Bases of Eigen and Associated Vectors of Operator Pencils in the Hilbert Spaces, Pure and Applied Mathematics Journal. Special Issue: Spectral Theory of Multiparameter Operator Pencils and Its Applications.
Vol. 4, No. 4-1,
2015, pp. 27-32.
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