# Article

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Keywords:
spectral analysis; diagonal operator; rank one operator; eigenvalue; spectrum; non-archimedean Hilbert space
Summary:
The paper is concerned with the spectral analysis for the class of linear operators $A = D_\lambda + X \otimes Y$ in non-archimedean Hilbert space, where $D_\lambda$ is a diagonal operator and $X \otimes Y$ is a rank one operator. The results of this paper turn out to be a generalization of those results obtained by Diarra.
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