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Root functions, eigenvectors, associated vectors and the inverse of a holomorphic operator function

✍ Scribed by Reinhard Mennicken; Manfred Möller

Book ID
112495300
Publisher
Springer
Year
1984
Tongue
English
Weight
359 KB
Volume
42
Category
Article
ISSN
0003-889X

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## 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