Kachurovskij spectra nonlinear block operator matrices
Aymen Ammar, Sami Baraket, Anis Ben Ghorbal, Aref Jeribi · Filomat · 2024
In this paper we extend the results obtained by X. Dong and D. Wu in [1] to 3 ? 3 Lipschitz continuous nonlinear operator matrices. In this work, the Kachurovskij spectrum of 3 ? 3 Lipschitz continu-ous nonlinear operator matrices are studied. Firstly, some connections between the Kachurovskij spectrum of certain 3 ? 3 Lipschitz continuous nonlinear operator matrices and that of their entries are established, and the relationship between the Kachurovskij spectrum of 3 ? 3 Lipschitz continuous nonlinear operator matrices and that of their Schur complement is presented by means of Schur decomposition.