Extensions by spaces of continuous functions
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- by Jesús M. F. Castillo and Yolanda Moreno
- Proc. Amer. Math. Soc. 136 (2008), 2417-2423
- DOI: https://doi.org/10.1090/S0002-9939-08-08820-5
- Published electronically: March 4, 2008
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Abstract:
We present two complementary results on the splitting of exact sequences having the form $0\to C(K) \to E \to X\to 0$. The first one characterizes the Banach spaces $X$ such that $\operatorname {Ext}(X, C(K))=0$ for every compact space $K$. The second is a nonlinear generalization of Zippin’s criterion for the extension of $C(K)$-valued operators.References
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Bibliographic Information
- Jesús M. F. Castillo
- Affiliation: Departamento de Matemáticas, Universidad de Extremadura, Avenida de Elvas, 06071 Badajoz, Spain
- MR Author ID: 247518
- ORCID: 0000-0003-3032-966X
- Email: castillo@unex.es
- Yolanda Moreno
- Affiliation: Departamento de Matemáticas, Universidad de Extremadura, Avenida de Elvas, 06071 Badajoz, Spain
- Email: ymoreno@unex.es
- Received by editor(s): May 5, 2004
- Published electronically: March 4, 2008
- Additional Notes: This work was supported in part by MTM2004-02635.
- Communicated by: Jonathan M. Borwein
- © Copyright 2008 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 136 (2008), 2417-2423
- MSC (2000): Primary 46M18, 46B20
- DOI: https://doi.org/10.1090/S0002-9939-08-08820-5
- MathSciNet review: 2390508