SOME LOCAL SPECTRAL PROPERTIES OF 3 x 3-BLOCK MATRIX OF LINEAR RELATIONS.

In this paper, we study some local spectral properties of 3 x 3-block matrix linear relations. More precisely, we give a necessary and sufficient conditions for linear relations matrix to have the single valued property in terms of the surjective spectrum and the analytic residuum of its diagonal entries. On the following, by means of it, we illustrate a new characterization of spectra and local spectra of linear relations matrix. [ABSTRACT FROM AUTHOR]