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Sequence of Linear Operators in Non-Archimedean Banach Spaces

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Abstract

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).

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

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  1. Department of Mathematics, University of Sfax Faculty of Sciences of Sfax, Soukra Road Km 3.5, B. P. 1171, 3000, Sfax, Tunisia

    Aymen Ammar, Aref Jeribi & Nawrez Lazrag

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  1. Aymen Ammar
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Ammar, A., Jeribi, A. & Lazrag, N. Sequence of Linear Operators in Non-Archimedean Banach Spaces. Mediterr. J. Math. 16, 130 (2019). https://doi.org/10.1007/s00009-019-1385-z

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