The strong approximation property |
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| Authors: | Eve Oja |
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| Affiliation: | Faculty of Mathematics and Computer Science, Tartu University, J. Liivi 2, EE-50409 Tartu, Estonia |
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| Abstract: | We introduce and investigate the strong approximation property of Banach spaces which is strictly stronger than the approximation property and at least formally weaker than the weak bounded approximation property. Among others, we show that the weak bounded approximation property is equivalent to a quantitative strengthening of the strong approximation property. Some recent results on the approximation property of Banach spaces and their dual spaces are improved. |
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| Keywords: | Banach spaces (Bounded) approximation properties (Weakly) compact operators |
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