On differential properties of mappings into a Banach space

• Дата: 1997
• Автори: Bondar, A. V., Бондарь, А. В.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 1997
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/5023
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We prove that the Rieffel sharpness condition for a Banach space E is necessary and sufficient for an arbitrary Lipschitz function f: [a, b]→E to be differentiable almost everywhere on a segment [a, b]. We establish that, in the case where the sharpness condition is not satisfied, the major part (in...