Journal of Convex Analysis 26 (2019), No. 4, 1347--1348
Copyright Heldermann Verlag 2019
Examples of Nondistinguished Function Spaces Cp(X)
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
[Abstract-pdf]
In the pointwise topology, familiar function spaces $C_{p}(\beta\mathbb{N})$, $C_{p}(\mathbb{R})$, $C_{p}\left[ 0,1\right] $, and $C_{p}(\text{Cantor set})$ are not distinguished.
Keywords: Distinguished locally convex space, pointwise topology, strongest locally convex topology, function spaces.
MSC: 46A08, 46E10; 54C35
[ Fulltext-pdf (66 KB)] for subscribers only.