Generic existence and uniqueness of positive eigenvalues and eigenvectors (Q5953400)
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scientific article; zbMATH DE number 1694216
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generic existence and uniqueness of positive eigenvalues and eigenvectors |
scientific article; zbMATH DE number 1694216 |
Statements
Generic existence and uniqueness of positive eigenvalues and eigenvectors (English)
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16 September 2002
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The authors abstracted the classical Perron-Frobenius and Krein-Rutman theorems and prove that, generically, a positive operators has a unique positive eigenvalue (up to scaling).
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ordered Banach space
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positive operator
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Perron-Frobenius and Krein-Rutman theorems
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positive eigenvalue
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