Dual and approximately dual Hilbert-Schmidt frames in Hilbert spaces (Q1743208)
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scientific article; zbMATH DE number 6859317
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Dual and approximately dual Hilbert-Schmidt frames in Hilbert spaces |
scientific article; zbMATH DE number 6859317 |
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Dual and approximately dual Hilbert-Schmidt frames in Hilbert spaces (English)
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13 April 2018
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The author introduces the concept of approximately dual Hilbert-Schmidt frames in Hilbert spaces. He establishes the relations between approximately dual Hilbert-Schmidt frames and dual Hilbert-Schmidt frames, and between approximately dual Hilbert-Schmidt frames and approximately dual frames. Also, he obtains a method to construct approximately dual Hilbert-Schmidt frames. Finally, the author presents a perturbation result and discusses the stability of the perturbation of dual Hilbert-Schmidt frames and approximately dual Hilbert-Schmidt frames.
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frame
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Hilbert-Schmidt frame
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dual Hilbert-Schmidt frame
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approximately dual Hilbert-Schmidt frame
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