Epsilon-eigenvalues of multivalued operators (Q1405598)
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scientific article; zbMATH DE number 1971092
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Epsilon-eigenvalues of multivalued operators |
scientific article; zbMATH DE number 1971092 |
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Epsilon-eigenvalues of multivalued operators (English)
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25 August 2003
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This article is devoted to extend Landau's theory of \(\varepsilon\)-eigenvalue to some positively homogeneous multivalued operators. Several results concerning monotonicity properties, companion functions, amenability, the resolvent, and the spectral threshold are obtained. In the author's opinion, ``the paper sheds fresh light on many features of the original theory''.
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Landau theory
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spectral threshold
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approximate point spectrum
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\(\varepsilon\)-eigenvalue
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multivalued operator
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positively homogeneous operators
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monotonicity
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companion functions
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amenability
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resolvent
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