Spectral analysis for infinite rank perturbations of unbounded diagonal operators

详细

In this paper we study the spectral theory for the class of linear operators A_∞ defined on the so-called non-archimedean Hilbert space E_ω by, A_∞:= D + F_∞ where D is an unbounded diagonal linear operator and F_∞:= Σ_k=1^∞u_k ⊗ v_k is an operator of infinite rank on E_ω.