The spectral radius in partially ordered algebras (Q2502885)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The spectral radius in partially ordered algebras |
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The spectral radius in partially ordered algebras (English)
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13 September 2006
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The authors are concerned with real partially ordered algebras and generalize some known results for operators acting on Banach spaces. One of the principal results of this study is a Perron--Frobenius type theorem. The authors present a host of examples, comments, and open questions related to the subject.
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operator algebra
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partially ordered Banach spaces
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partially ordered algebras
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positive cone
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spectrum
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spectral radius
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Perron-Frobenius theorem
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semimonotone norms
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completeness
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