$varepsilon$-Simultaneous approximations of downward sets

Document Type : Research Paper


1 Islamic Aazad University, Marand, Iran

2 Azarbaidjan University of Tarbiat Moallem, Iran

3 Amirkabir University of Technology, Iran


In this paper, we prove some results on characterization of $varepsilon$-simultaneous approximations of downward sets in vector lattice Banach spaces. Also, we give some results about simultaneous approximations of normal sets.


Main Subjects

  • Receive Date: 20 May 2011
  • Revise Date: 07 October 2011
  • Accept Date: 07 October 2011
  • First Publish Date: 01 March 2013