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Extensions by spaces of continuous functions
Authors:Jesú  s M. F. Castillo   Yolanda Moreno
Affiliation:Departamento de Matemáticas, Universidad de Extremadura, Avenida de Elvas, 06071 Badajoz, Spain ; Departamento de Matemáticas, Universidad de Extremadura, Avenida de Elvas, 06071 Badajoz, Spain
Abstract:We present two complementary results on the splitting of exact sequences having the form $ 0to C(K) to E to Xto 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.

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