Multiplicity characteristics of the continuum spectrum of a class of dissipative operators (Q2759362)
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scientific article; zbMATH DE number 1681776
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multiplicity characteristics of the continuum spectrum of a class of dissipative operators |
scientific article; zbMATH DE number 1681776 |
Statements
12 December 2001
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dissipative operator
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dissipative quasi-Hermitian operators
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multiplicity of the continuous spectrum
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limiting values
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characteristic matrix-function
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nonnegative components of the polar expansion
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Multiplicity characteristics of the continuum spectrum of a class of dissipative operators (English)
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For a class of dissipative quasi-Hermitian operators the concept of multiplicity of the continuous spectrum is introduced. A formula is presented for the characteristic matrix-function in terms of nonnegative components of the polar expansion of the difference of limiting values of this matrix-function.
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