Abstract

In the pointwise topology, familiar function spaces Cp(βN)C_{p}(\beta\mathbb{N}), Cp(R)C_{p}(\mathbb{R}), Cp[0,1]C_{p}\left[ 0,1\right], and Cp(Cantor set)C_{p}(\text{Cantor set}) are not distinguished.

Author information

Contact details are reproduced from the original publication and may be historical.

Juan Carlos Ferrando

Centro de Investigación Operativa, Universidad Miguel Hernández, 03202 Elche, Spain

jc.ferrando@umh.es

Jerzy Kakol

Faculty of Mathematics and Informatics, A. Mickiewicz University, 61-614 Poznan, Poland
and: Institute of Mathematics, Czech Academy of Sciences, Prague, Czech Republic

kakol@amu.edu.pl

Stephen A. Saxon

Dept. of Mathematics, University of Florida, Gainesville, FL 32611, U.S.A.

stephen_saxon@yahoo.com

Keywords

  • Distinguished locally convex space
  • pointwise topology
  • strongest locally convex topology
  • function spaces

Mathematics Subject Classification

46A08, 46E10; 54C35

Suggested citation

J. C. Ferrando, J. Kakol, S. A. Saxon. “Examples of Nondistinguished Function Spaces C_(p)(X).” Journal of Convex Analysis 26 (2019), No. 4, 1347–1348.

Copyright Heldermann Verlag 2019