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Singular spectrum analysis based on the perturbation theory

✍ Scribed by Hossein Hassani; Zhengyuan Xu; Anatoly Zhigljavsky


Book ID
108226284
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
553 KB
Volume
12
Category
Article
ISSN
1468-1218

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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~,…, _