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On Riesz bases of root functions for a class of functional-differential operators on a graph

✍ Scribed by M. Sh. Burlutskaya


Book ID
110158562
Publisher
Springer
Year
2009
Tongue
English
Weight
324 KB
Volume
45
Category
Article
ISSN
0012-2661

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A Note on Riesz Bases of Eigenvectors of
✍ Joseph Lutgen 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 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