Rates of approximation and ergodic limits of resolvent families (Q1924912)
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scientific article; zbMATH DE number 938542
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rates of approximation and ergodic limits of resolvent families |
scientific article; zbMATH DE number 938542 |
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Rates of approximation and ergodic limits of resolvent families (English)
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22 November 1996
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For a resolvent family this paper formulates theorems concerning rates of convergence to the identity and of ergodic limits, including theorems about saturation classes, non-optimal rates, and sharpness of non-optimal convergence. Then, as applications, some known and new results on \(C_0\)-semigroups and cosine operator functions are deduced.
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resolvent family
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rates of convergence
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ergodic limits
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saturation classes
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non-optimal rates
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non-optimal convergence
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\(C_ 0\)-semigroups
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cosine operator functions
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