On properties of subdifferential mappings in Fréchet spaces

• Дата: 2005
• Автори: Kasyanov, P. O., Mel'nik, V. S., Касьянов, П. О., Мельник, В. С.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2005
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/3692
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We present conditions under which the subdifferential of a proper convex lower-semicontinuous functional in a Fréchet space is a bounded upper-semicontinuous mapping. The theorem on the boundedness of a subdifferential is also new for Banach spaces. We prove a generalized Weierstrass theorem in Fréc...