Abstract
It is shown that $Z$ does not contain a copy of $c_0$ if and only if for every bilinear map $B:X\times Y\to Z$, every function $f:[0,1]\to X$ of bounded $({\cal B})$-variation is $({\cal B})$-regulated.
Citation
Oscar Blasco. "Finite Semivariation and Regulated Functions by Means of Bilinear Maps." Real Anal. Exchange 26 (2) 603 - 608, 2000/2001.
Information
Published: 2000/2001
First available in Project Euclid: 27 June 2008
zbMATH: 1037.26007
MathSciNet: MR1844139
Subjects:
Primary:
26A39
Keywords:
bilinear triples
,
regulated functions
,
semivariation
Rights: Copyright © 2000 Michigan State University Press
