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In this paper, we denote by $\mathcal{L}$ the block matrix linear relation, acting on the Banach space $X\oplus Y$, of the form $$\mathcal{L}= \left( \begin{array}{cc} A & B\\ C & D \\ \end{array} \right),$$ where $A$, $B$, $C$ and $D$ are four linear relations with dense domains. We first try to determine the conditions under which a block matrix linear relation becomes a demicompact block matrix linear relation (see Theorems \ref{411114111111} and \ref{4111141111110}). Second we study Shechter spectra using demicompact linear relations and relatively demicompact linear relations (see Theorem \ref{120120120}).
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참고문헌 (17)
참고문헌 신청
F. Abdmouleh / 2015 / Spectral mapping theorem for Rakocevi´c and Schmoeger essential spectra of a multivalued linear operator / Mediterr. J. Math 12(3):1019~1031
T. Alvarez / 2014 / On the essential spectra of some matrix of linear relations / Math. Methods Appl. Sci 37(5):620~644
A. Ammar / 2017 / A characterization of some subsets of essential spectra of a multivalued linear operator / Complex Anal. Oper. Theory 11(1):175~196
A. Ammar / 2018 / Some results on semi-Fredholm perturbations of multivalued linear operators / Linear Multilinear Algebra 66(7):1311~1332
A. Ammar / 2018 / Demicompact and k-D-set-contractive multivalued linear operators / Mediterr. J. Math 15(2):41~58
T. Alvarez / 2014 / On the essential spectra of some matrix of linear relations / Math. Methods Appl. Sci 37(5):620~644
A. Ammar / 2017 / A characterization of some subsets of essential spectra of a multivalued linear operator / Complex Anal. Oper. Theory 11(1):175~196
A. Ammar / 2018 / Some results on semi-Fredholm perturbations of multivalued linear operators / Linear Multilinear Algebra 66(7):1311~1332
A. Ammar / 2018 / Demicompact and k-D-set-contractive multivalued linear operators / Mediterr. J. Math 15(2):41~58
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