Principle of local reflexivity respecting subspaces |
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| Authors: | Eve Oja |
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| Affiliation: | 1. Faculty of Mathematics and Computer Science, University of Tartu, J. Liivi 2, 50409 Tartu, Estonia;2. Estonian Academy of Sciences, Kohtu 6, 10130 Tallinn, Estonia |
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| Abstract: | We obtain a strengthening of the principle of local reflexivity in a general form. The added strength makes local reflexivity operators respect given subspaces. Applications are given to bounded approximation properties of pairs, consisting of a Banach space and its subspace. |
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| Keywords: | primary, 46B07 secondary, 46B20, 46B28, 47B10 |
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