TY - JOUR AU - Azagra Rueda, Daniel AU - Jiménez Sevilla, María Del Mar PY - 2001 DO - 10.1006_jfan.2000.3709 SN - 0022-1236 UR - https://hdl.handle.net/20.500.14352/57129 T2 - Journal of Functional Analysis AB - We prove the following new characterization of Cp Lipschitz) smoothness in Banach spaces. An infinite-dimensional Banach space X has a Cp smooth (Lipschitz)bump function if and only if it has another Cp smooth (Lipschitz) bump function f such that its... LA - eng M2 - 207 PB - Elsevier KW - Negligibility KW - Rolle theorem KW - Smooth norm KW - Brouwer fixed point theorem KW - Bump TI - The Failure of Rolle's Theorem in Infinite-Dimensional Banach Spaces TY - journal article VL - 182 ER -