Infinite-dimensional perturbations, maximally nondensely defined symmetric operators, and some matrix representations (Q692597)
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scientific article; zbMATH DE number 6112944
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Infinite-dimensional perturbations, maximally nondensely defined symmetric operators, and some matrix representations |
scientific article; zbMATH DE number 6112944 |
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Infinite-dimensional perturbations, maximally nondensely defined symmetric operators, and some matrix representations (English)
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6 December 2012
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The notion of a maximally nondensely defined symmetric operator or relation is introduced and characterized. The selfadjoint extensions (including the generalized Friedrichs extension) of a class of maximally nondensely defined symmetric operators are described. The description is given by means of the theory of ordinary boundary triplets and exhibits the extensions as infinite-dimensional perturbations of a certain selfadjoint operator extension of the symmetric operator.
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symmetric operator
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generalized Friedrichs extension
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Weyl function
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boundary triplet
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graph perturbation
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