Discrete \((h,k)\)-dichotomy and remarks on the boundedness of the projections (Q472529)
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scientific article; zbMATH DE number 6371136
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Discrete \((h,k)\)-dichotomy and remarks on the boundedness of the projections |
scientific article; zbMATH DE number 6371136 |
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Discrete \((h,k)\)-dichotomy and remarks on the boundedness of the projections (English)
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19 November 2014
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Summary: The present paper treats a concept of \((h,k)\)-dichotomy for linear discrete systems. Sufficient conditions for the \(k\)-boundedness of the projection sequences that give the dichotomy are presented and an illustrative example shows the connection between the growth of the system and the bound of the sequence of projections. Thus, the growth of the system that is assumed in the theorems is essential.
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\((h,k)\)-dichotomy
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linear discrete systems
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\(k\)-boundedness of the projection sequences
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