Spectral Problems of Two-Parameter System of Operators
Pure and Applied Mathematics Journal
Volume 4, Issue 4-1, August 2015, Pages: 33-37
Received: May 4, 2015; Accepted: May 19, 2015; Published: Aug. 21, 2015
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Rakhshanda Dzhabarzadeh, Department of functional analysis, Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan
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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
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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