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Basis property of a part of the system of Eigenvectors of a holomorphic operator-function

✍ Scribed by V. A. Grinshtein


Publisher
SP MAIK Nauka/Interperiodica
Year
1991
Tongue
English
Weight
133 KB
Volume
50
Category
Article
ISSN
0001-4346

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A Note on Riesz Bases of Eigenvectors of
✍ Joseph Lutgen πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 135 KB

## Operator-valued functions of the form compact-valued and holomorphic on certain domains ⍀ ; ‫ރ‬ are considered in separable Hilbert space. Assuming that the resolvent of A is compact, its eigenvalues are simple and the corresponding eigenvectors form a Riesz basis for H H of finite defect, it i