Drazin inverse of multivalued operators and its applications

  • Ayoub Ghorbel
  • Maher Mnif


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 \( X \times Y \).


Drazin invertible multivalued operators Left Drazin invertible multivalued operators Right Drazin invertible multivalued operators Upper triangular multivalued operator matrices 

Mathematics Subject Classification

47A06 47A53 



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Copyright information

© Springer-Verlag GmbH Austria, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Département de Mathématiques, Faculté des Sciences de SfaxUniversité de SfaxSfaxTunisia

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