Linear relations generated by an integral equation with Nevanlinna operator measure (Q1946267)
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scientific article; zbMATH DE number 6155569
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Linear relations generated by an integral equation with Nevanlinna operator measure |
scientific article; zbMATH DE number 6155569 |
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Linear relations generated by an integral equation with Nevanlinna operator measure (English)
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19 April 2013
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The families of maximal and minimal linear relations generated by an integral equation with Nevanlinna operator measure aredefined and their holomorphic property is proved. If a restriction of a maximal relation is continuously invertible, then the operator inverse to this restriction is integral. The constancy of deficiency indices of some integral and differential equations discussed by \textit{S. A. Orlov} [Izv. Akad. Nauk SSSR, Ser. Mat. 40, 593--644 (1976; Zbl 0337.34020)] are proved using the proposed theory.
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integral equation
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holomorphic family of relations
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deficiency index
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Hilbert space
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linear relation
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Nevanlinna operator measure
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0.9548415
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0.95000005
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0.9152007
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0.8895941
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