Spectral analysis for infinite rank perturbations of unbounded diagonal operators |
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| Authors: | Toka Diagana |
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| Institution: | 1.Department of Mathematics,Howard University,Washington D.C.,USA;2.Department of Mathematics and Statistics,King Fahd University of Petroleum and Minerals,Dhahran,Saudi Arabia |
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| Abstract: | 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 . |
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