The functional calculus of full operators with discrete spectrum (Q2714524)
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scientific article; zbMATH DE number 1606969
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The functional calculus of full operators with discrete spectrum |
scientific article; zbMATH DE number 1606969 |
Statements
20 June 2001
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complete operators
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discrete spectrum
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full operators
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Riesz projector
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differential operators
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The functional calculus of full operators with discrete spectrum (English)
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In the Banach space \((X,\|\cdot\|_X)\) over the field of complex numbers \(\mathbb C\), the linear operator NEWLINE\[NEWLINE A: D(A)\subset X\to X NEWLINE\]NEWLINE with dense domain of definition \(D(A)\) is considered. It is assumed that the operator \(A\) has a discrete spectrum \(\sigma(A)\). The functional calculus for the operators under consideration is discussed and new classes of complete operators are described.
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