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The singular spectrum of the weakly perturbed multiplication operator

✍ Scribed by B. S. Pavlov; S. V. Petras


Publisher
Springer US
Year
1970
Tongue
English
Weight
384 KB
Volume
4
Category
Article
ISSN
0016-2663

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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~,…, _