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

• Datum: 2000
• Hauptverfasser: Babenko, V. F., Gorbenko, M. E., Бабенко, В. Ф., Горбенко, М. Е.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2000
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4393
• Назва журналу: 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.