On Multiple Bases of Eigen and Associated Vectors of Operator Pencils in the Hilbert Spaces

Rakhshanda Dzhabarzadeh
2015 Pure and Applied Mathematics Journal  
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.
doi:10.11648/j.pamj.s.2015040401.16 fatcat:aib3svikpnhspbhnsqnourezhy