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Extensions by spaces of continuous functions

Authors:	Jesú s M F Castillo Yolanda Moreno

Institution:	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 $0\to C(K) \to E \to X\to 0$ . The first one characterizes the Banach spaces such that $\operatorname{Ext}(X, C(K))=0$ for every compact space . The second is a nonlinear generalization of Zippin's criterion for the extension of -valued operators.

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