On the uniqueness of an element of the best $L_1$-approximation for functions with values in a banach space

• Date: 2000
• Main Authors: Babenko, V. F., Gorbenko, M. E., Бабенко, В. Ф., Горбенко, М. Е.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2000
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4393
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study the problem of uniqueness of an element of the best $L_1$-approximation for continuous functions with values in a Banach space. We prove two theorems that characterize the uniqueness subspaces in terms of certain sets of test functions.