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Fold completeness of a system of root vectors of a system of unbounded polynomial operator pencils in Banach spaces. I. Abstract theory

โœ Scribed by Yakov Yakubov


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
179 KB
Volume
92
Category
Article
ISSN
0021-7824

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Two-fold completeness of root vectors of
โœ Yakov Yakubov ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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