Abstract
Let $C(0,1)$ be the space of all continuous real-valued functions defined on an open interval $(0,1)$. We shall show that the multiplication is a weakly open operation in $C(0,1)$.
Citation
Stanis{\l}aw Kowalczyk. "Weak Openness of Multiplication in the Space C(0,1)." Real Anal. Exchange 35 (1) 235 - 242, 2009/2010.
Information
Published: 2009/2010
First available in Project Euclid: 27 April 2010
MathSciNet: MR2657298
Subjects:
Primary:
26A99
Secondary:
26A15
Keywords:
multiplication
,
open mapping
,
space of continuous functions
,
weakly open mapping
Rights: Copyright © 2009 Michigan State University Press