On the bounded compact approximation property and measures of noncompactness |
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Authors: | Kari Astala Hans-Olav Tylli |
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Institution: | 1. Department of Mathematics, University of Jyväskylä, Seminaarikatu 15, SF-40100 Jyväskylä 10, Finland;2. Department of Mathematics, University of Helsinki, Hallituskatu 15, SF-00100 Helsinki 10, Finland |
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Abstract: | The Banach spaces with the bounded compact approximation property are characterized by the completeness of measures of noncompactness. Applications to the theory of semi-Fredholm operators and to the algebraic properties of their canonical images in the Calkin algebra are discussed. |
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