Construction of radially bounded antiproximinal sets in $L_1$

  • V.A. Balan Yuriy Fedkovych Chernivtsi National University, 2 Kotsjubynskyi str., 58012, Chernivtsi, Ukraine
Keywords: $L_1$ space, antiproximinal set, radial boundedness
Published online: 2010-12-30


It is shown that in $L_1$ space the polar of the weakly$^*$ convergent sequence contains radially bounded completely convex set.

How to Cite
Balan V. Construction of Radially Bounded Antiproximinal Sets in $L_1$. Carpathian Math. Publ. 2010, 2 (2), 4-9.