On Existence of Eigen Values of Several Operator Bundles with Two Parameters
Pure and Applied Mathematics Journal
Volume 4, Issue 4-1, August 2015, Pages: 16-21
Received: Apr. 19, 2015; Accepted: May 14, 2015; Published: Aug. 21, 2015
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Authors
Makhmudova Malaka Gasan, Department of Higher Mathematics, Baku State University, Baku, Azerbaijan
Sultanova Elnara Bayram, Department of Applied Mathematics, Baku State University, Baku, Azerbaijan
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Abstract
For the several operator bundles with two parameters when the number of equation is greater than the number of parameters in the Hilbert spaces is given the criterion of existence of the common point of spectra. In the special case the common point of spectra is the common eigen value. In the proof of the theorem the authors use the results of the spectral theory of multiparameter systems
Keywords
Operator, Space, Resultant, Criterion, Eigenvector, Bundle
To cite this article
Makhmudova Malaka Gasan, Sultanova Elnara Bayram, On Existence of Eigen Values of Several Operator Bundles with Two Parameters, Pure and Applied Mathematics Journal. Special Issue: Spectral Theory of Multiparameter Operator Pencils and Its Applications. Vol. 4, No. 4-1, 2015, pp. 16-21. doi: 10.11648/j.pamj.s.2015040401.14
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