The asymptotically commuting bounded approximation property of Banach spaces |
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| Authors: | Eve Oja Indrek Zolk |
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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 introduce and study the asymptotically commuting bounded approximation property of Banach spaces. This property is, e.g., enjoyed by any dual space with the bounded approximation property. The principal result is the following: if a Banach space X has the asymptotically λ-commuting bounded approximation property, then X is saturated with locally λ-complemented separable subspaces enjoying the λ-commuting bounded approximation property. |
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| Keywords: | Banach spaces The asymptotically commuting bounded approximation property Approximation properties defined by operator ideals Extension operators (Locally) complemented subspaces |
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