Pure and Applied Mathematics Journal
Volume 4, Issue 4-1, August 2015, Pages: 5-10
Received: Feb. 25, 2015;
Accepted: Feb. 27, 2015;
Published: May 12, 2015
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Rakhshanda Dzhabarzadeh, Department of functional analysis, Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku
Kamilla Alimardanova, Department of functional analysis of mathematics and Mechanics of NAS of Azerbaijan, Baku
For the multiparameter system of operators in three parameters the conditions of the existence of multiple basis of eigen and associated vectors in finite dimensional space is proved. The proof of this fact uses essentially the notion of the Resultant of two operator pencils, acting in, generally speaking, in different Hilbert spaces and the criterion of existence of common eigenvalues of several operator pencils, acting in Hilbert spaces.
Multiparameter Operator Systems with Three Parameters, Pure and Applied Mathematics Journal. Special Issue: Spectral Theory of Multiparameter Operator Pencils and Its Applications.
Vol. 4, No. 4-1,
2015, pp. 5-10.
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