Spectral analysis for rank one perturbations of diagonal operators in non-archimedean Hilbert space

摘要

The paper is concerned with the spectral analysis for the class of linear operators A = D-lambda + X circle times Y in non-archimedean Hilbert space, where D-lambda is a diagonal operator and X circle times Y is a rank one operator. The results of this paper turn out to be a generalization of those results obtained by Diarra.