On one class of nonselfadjoint operators with a discrete spectrum (Q2896639)
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scientific article; zbMATH DE number 6056390
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On one class of nonselfadjoint operators with a discrete spectrum |
scientific article; zbMATH DE number 6056390 |
Statements
16 July 2012
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unconditional basis
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root vectors
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de Branges spaces
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0.9641215
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0.95887536
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0.9319627
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0.9313215
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On one class of nonselfadjoint operators with a discrete spectrum (English)
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The authors study properties of operators on a separable Hilbert space belonging to the class \(\mathcal K_0\) of non-dissipative compact operators with two-dimensional imaginary parts, which have no real eigenvalues. Conditions for the completeness and the unconditional basis property of the root vectors of operators from \(\mathcal K_0\) are found. The results are formulated in terms of characteristic matrix-valued functions and are based on the analysis of functional models on de~Branges spaces.
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