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Weakly singular perturbations of a discrete spectrum

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

Book ID
112429508
Publisher
Springer
Year
1989
Tongue
English
Weight
282 KB
Volume
32
Category
Article
ISSN
1573-9228

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πŸ“œ SIMILAR VOLUMES

On the point spectrum of ℋ–2-singular pe
On the point spectrum of ℋ–2-singular perturbations
✍ 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~,…, _