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On the spectrum of singular perturbations of operators on the circle

✍ Scribed by V. A. Mikhailets; V. Molyboga


Book ID
114988204
Publisher
SP MAIK Nauka/Interperiodica
Year
2012
Tongue
English
Weight
523 KB
Volume
91
Category
Article
ISSN
0001-4346

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On the point spectrum of ℋ–2-singular pe
✍ Sergio Albeverio; Mykola Dudkin; Alexei Konstantinov; Volodymyr Koshmanenko πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 132 KB

## 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~,…, _