Volume 4, Issue 4-1, August 2015, Page: 22-26
Spectral Theory of Operator Pencils in the Hilbert Spaces
Rakhshanda Dzhabarzadeh, Department of functional analysis, Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan
Received: Apr. 29, 2015;       Accepted: May 14, 2015;       Published: Aug. 21, 2015
DOI: 10.11648/j.pamj.s.2015040401.15      View  3472      Downloads  81
Abstract
The theorem on possibility of multiple summation of the series on eigen and associated vectors of the operator pencil in the Hilbert space is proved. Research of multiple completeness and multiple expansions of eigen and associated vectors of such operator pencils are closely connected with the research of differential operator equation with the boundary conditions
Keywords
Operator Pencil, Residue, Completely Continuous, Multiple
To cite this article
Rakhshanda Dzhabarzadeh, Spectral Theory 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. 22-26. doi: 10.11648/j.pamj.s.2015040401.15
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