On the BAP in Fréchet Schwartz spaces and their duals (Q1100395)
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scientific article; zbMATH DE number 4042534
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the BAP in Fréchet Schwartz spaces and their duals |
scientific article; zbMATH DE number 4042534 |
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On the BAP in Fréchet Schwartz spaces and their duals (English)
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1988
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In Stud. Math. 75, 103-119 (1983; Zbl 0541.46002) \textit{A. Benndorf} gave a proof, using an imbedding theorem of Pelczynski and Wojtaszczyk, of the fact that in a Fréchet Schwartz space with the BAP (resp. FDD) a new sequence of operators defining the BAP (resp. FDD) can be obtained satisfying prefixed convergence conditions. We give a purely internal proof of this fact, and show that this is also true (and with a stronger convergence) in the dual space.
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bounded approximation property
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finite decomposition property
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imbedding theorem of Pelczynski and Wojtaszczyk
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Fréchet Schwartz space with the BAP
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0.7648945450782776
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0.7491419315338135
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0.7465752959251404
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0.7465752959251404
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0.7403759956359863
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