Abstract: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.
Keywords: spectral analysis, diagonal operator, rank one operator, eigenvalue, spectrum, non-archimedean Hilbert space
AMS Subject Classification: 44A35 42A85 42A75