Sequence of Multivalued Linear Operators Converging in the Generalized Sense

To study the Weyl essential spectrum of a sequence of closed multivalued linear operators converging in the generalized sense, we seek a counterpart of this convergence for closed linear relations as defined by Kato (Perturbation theory for linear operators, 2nd edn. Grundlehren der Mathematischen Wissenschaften, Band 132. Springer, Berlin, 1976). Furthermore, we apply the obtained results to determine the Weyl essential spectrum of a 2×2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$2\times 2$$\end{document} matrix of closed multivalued linear operators.