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

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.

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Bibliographic Details
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
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal