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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Author
Rakhshanda Dzhabarzadeh, Department of functional analysis. Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan
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Abstract
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
Keywords
Multiple Basis, Eigen And Associated, Residue, Bounded
To cite this article
Rakhshanda Dzhabarzadeh, 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. doi: 10.11648/j.pamj.s.2015040401.16
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