Joint spectrum for quasi-solvable Lie algebras of operators (Q2767710)
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scientific article; zbMATH DE number 1698451
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Joint spectrum for quasi-solvable Lie algebras of operators |
scientific article; zbMATH DE number 1698451 |
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12 March 2003
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joint spectrum
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complex solvable finite-dimensional Lie algebras of operators
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quasi-solvable Lie algebras
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ideal
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math.FA
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Joint spectrum for quasi-solvable Lie algebras of operators (English)
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The author considers a joint spectrum defined for complex solvable finite-dimensional Lie algebras of operators, which then extends to quasi-solvable Lie algebras (a Lie algebra \(L\) is quasi-solvable if any element \(x\in L\) lives in a solvable finite-dimensional ideal of \(L\)). He proves the main spectral properties for this joint spectrum, and shows that it is uniquely determined by its restriction to the solvable case.
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