On the point spectrum of ββ2-singular pe
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Sergio Albeverio; Mykola Dudkin; Alexei Konstantinov; Volodymyr Koshmanenko
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Article
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2007
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John Wiley and Sons
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English
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## Abstract We prove that for any selfβadjoint operator __A__ in a separable Hilbert space βοΈ and a given countable set Ξ = {__Ξ»__ ~__i__~ }~__i__ ββ~ of real numbers, there exist βοΈ~β2~βsingular perturbations __Γ__ of __A__ such that Ξ β __Ο__ ~__p__~ (__Γ__). In particular, if Ξ = {__Ξ»__ ~1~,β¦, _