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Fold completeness of a system of root vectors of a system of unbounded polynomial operator pencils in Banach spaces. II. Application

✍ Scribed by Yakov Yakubov

Book ID
118813962
Publisher
SP Science China Press
Year
2012
Tongue
English
Weight
284 KB
Volume
56
Category
Article
ISSN
1674-7283

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Two-fold completeness of root vectors of
Two-fold completeness of root vectors of a system of quadratic pencils
✍ Yakov Yakubov πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 222 KB

We consider a spectral problem for a system of second order (in the spectral parameter) abstract pencils in a Hilbert space and prove the completeness and the Abel basis property of a system of eigenvectors and associated vectors. In some special cases, we obtain the expansion of vectors with respec