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

Toka Diagana; George D. McNeal — 2009

Commentationes Mathematicae Universitatis Carolinae

The paper is concerned with the spectral analysis for the class of linear operators $A = D_{λ} + X \otimes Y$ in non-archimedean Hilbert space, where $D_{λ}$ 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.

Corrigendum to “Spectral analysis for rank one perturbations of diagonal operators in non-archimedean Hilbert space”

George D. McNeal; Toka Diagana — 2009

Commentationes Mathematicae Universitatis Carolinae

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