Summability and amarts of finite order in Fréchet spaces (Q1109280)
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scientific article; zbMATH DE number 4069549
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Summability and amarts of finite order in Fréchet spaces |
scientific article; zbMATH DE number 4069549 |
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Summability and amarts of finite order in Fréchet spaces (English)
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1988
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Vector-valued asymptotic martingales (amarts) in locally convex spaces are studied, especially amarts of finite order are extended to Fréchet spaces. This concept yields a new characterization of absolutely summing operators in Fréchet spaces and together with results of A. Pietsch a new characterization of nuclear Fréchet spaces.
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Vector-valued asymptotic martingales
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amarts of finite order
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Fréchet spaces
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characterization of absolutely summing operators in Fréchet spaces
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nuclear Fréchet spaces
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