Proof of basis property using only asymptotics of eigen- and associated elements (Q1022252)
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scientific article; zbMATH DE number 5563681
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Proof of basis property using only asymptotics of eigen- and associated elements |
scientific article; zbMATH DE number 5563681 |
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Proof of basis property using only asymptotics of eigen- and associated elements (English)
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10 June 2009
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The author considers a linear operator in a Hilbert space and its eigen- and adjoined vectors. The main theorem says that, under some restrictions, it is possible to replace a finite number of vectors by other vectors such that one gets a Riesz basis. Note that having an arbitrary Riesz basis and replacing a finite number of vectors by other vectors (such that the whole system of vectors remains linearly independent), one always gets a Riesz basis.
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