Abstract

In this paper, the notion of Drazin invertibility in the case of multivalued operators is introduced. Many results from operator theory are covered. Applications of some obtained results allow to study the Drazin invertibility of a multivalued operator matrix $$ M_C := \left( \begin{array}{c@{\quad }c} A &{} C \\ 0 &{} B \\ \end{array} \right) $$ acting in the product of Banach or Hilbert spaces $$ X \times Y $$ .

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