Sequence of Linear Operators in Non-Archimedean Banach Spaces

  • Aymen AmmarEmail author
  • Aref Jeribi
  • Nawrez Lazrag


The aim of this paper is to find a non-Archimedean counterpart of the generalized convergence of closable unbounded linear operators as defined by Kato (Perturbation Theory for Linear Operators, 2nd edn. In: Grundlehren der Mathematischen Wissenschaften, Band 132, Springer, Berlin, 1976). Moreover, we prove that this convergence can be considered as a generalization of convergence in norm for unbounded linear operators on non-Archimedean Banach spaces (see Theorem 3.8).


Non-Archimedean Banach space gap convergence 

Mathematics Subject Classification

47A10 47A55 



The authors are grateful to reviewer(s) for their insightful recommendations and valuable suggestions related to this paper.


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Authors and Affiliations

  1. 1.Department of MathematicsUniversity of Sfax Faculty of Sciences of SfaxSfaxTunisia

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