Volume 4, Issue 4-1, August 2015, Page: 33-37
Spectral Problems of Two-Parameter System of Operators
Rakhshanda Dzhabarzadeh, Department of functional analysis, Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan
Received: May 4, 2015;       Accepted: May 19, 2015;       Published: Aug. 21, 2015
DOI: 10.11648/j.pamj.s.2015040401.17      View  3358      Downloads  38
Abstract
The author has proved the existence of the multiple basis of the eigen and associated vectors of the two parameter system of operators in Hilbert spaces. The proof essentially uses the theorem of the existence of multiple basis of operator bundles and the notion of the abstract analog of resultant of two operator pencils, acting, generally speaking, in different Hilbert spaces. Considerable non-selfadjoint two parameter systems depend on both parameters in a complicated manner
Keywords
Multiparameter, Spectrum, Operator, Space, Eigenvector
To cite this article
Rakhshanda Dzhabarzadeh, Spectral Problems of Two-Parameter System of Operators, Pure and Applied Mathematics Journal. Special Issue: Spectral Theory of Multiparameter Operator Pencils and Its Applications. Vol. 4, No. 4-1, 2015, pp. 33-37. doi: 10.11648/j.pamj.s.2015040401.17
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