On Multiple Bases of Eigen and Associated Vectors of Operator Pencils in the Hilbert Spaces
Rakhshanda Dzhabarzadeh · Pure and Applied Mathematics Journal · 2015
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