Two Velichko-like Theorems for <i>C(X)</i>

Abstract

This paper provides two new Velichko-like theorems for the weak counterpart of the locally convex space CkX of all real-valued functions defined on a Tychonoff space X equipped with the compact-open topology τk.

Keywords

• Velichko’s theorem
• <i>K</i>-analytic framed
• angelic space
• <i>σ</i>-compact space
• (relatively) sequentially complete set