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

  • V. F. Babenko
  • M. E. Gorbenko

Abstract

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.
Published
25.01.2000
How to Cite
BabenkoV. F., and GorbenkoM. E. “On the Uniqueness of an Element of the Best $L_1$-Approximation for Functions With Values in a Banach Space”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 52, no. 1, Jan. 2000, pp. 30-34, https://umj.imath.kiev.ua/index.php/umj/article/view/4393.
Section
Research articles