On uniform limitability and Banach limits (Q753046)
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scientific article; zbMATH DE number 4179990
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On uniform limitability and Banach limits |
scientific article; zbMATH DE number 4179990 |
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On uniform limitability and Banach limits (English)
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1990
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Summary: A bounded sequence is shown to be \(H_{\infty}\)-limitable to the value a if and only if all strong Banach limits assign the same value a to this sequence. In this connection, a strong Banach limit means a linear functional with certain properties on the space M of bounded sequences. More general uniform limitation methods can be characterized in a similar manner.
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strong Banach limits
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uniform limitation methods
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0.92418325
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0.9155145
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