A new version of the Gleason-Kahane-Żelazko theorem in complete random normed algebras
LMIB and School of Mathematics and Systems Science, Beihang University, Beijing 100191, P. R. China
College of Mathematics Physics and Information Engineering, Jiaxing University, Jiaxing 314001, P. R. China
Journal of Inequalities and Applications 2012, 2012:85 doi:10.1186/1029-242X-2012-85Published: 13 April 2012
In this article we first present the notion of multiplicative L0-linear function. Moreover, we establish a new version of the Gleason-Kahane-Żelazko theorem in unital complete random normed algebras.
Mathematics Subject Classification 2000: 46H25; 46H05; 15A78.