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Singular perturbations of discrete spectrum

✍ Scribed by V. B. Gostev; V. S. Mineev; A. R. Frenkin


Book ID
112429263
Publisher
Springer
Year
1988
Tongue
English
Weight
358 KB
Volume
31
Category
Article
ISSN
1573-9228

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On the point spectrum of ℋ–2-singular pe
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## Abstract We prove that for any self‐adjoint operator __A__ in a separable Hilbert space ℋ︁ and a given countable set Ξ› = {__Ξ»__ ~__i__~ }~__i__ βˆˆβ„•~ of real numbers, there exist ℋ︁~–2~‐singular perturbations __Γƒ__ of __A__ such that Ξ› βŠ‚ __Οƒ__ ~__p__~ (__Γƒ__). In particular, if Ξ› = {__Ξ»__ ~1~,…, _