Defect basis property of the eigenvectors of a selfadjoint operator- valued function and formula for defect (Q1804045)
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scientific article; zbMATH DE number 222161
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Defect basis property of the eigenvectors of a selfadjoint operator- valued function and formula for defect |
scientific article; zbMATH DE number 222161 |
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Defect basis property of the eigenvectors of a selfadjoint operator- valued function and formula for defect (English)
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29 June 1993
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The author studies the possible changes of dimension of the positive part of a continuous selfadjoint operator-valued function, when its variable transverses through some Fredholm eigenvalue. Some results about the defect basis property are also obtained and the formula for the defect is proved.
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changes of dimension of the positive part of a continuous selfadjoint operator-valued function
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defect basis property
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