A new version of the Gleason-Kahane-Żelazko theorem in complete random normed algebras

被引：0

作者：

Yuehan Tang

机构：

[1] Beihang University,LMIB and School of Mathematics and Systems Science

[2] Jiaxing University,College of Mathematics Physics and Information Engineering

来源：

Journal of Inequalities and Applications | / 2012卷

关键词：

random normed module; random normed algebra; multiplicative ; -linear function; Gleason-Kahane-Żelazko theorem.;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

共 7 条

[1]

Gleason AM(1967)A characterization of maximal ideals J Anal Math 19 171-172

[2]

Kahane JP(1968)A characterization of maximal ideals in commutative Banach algebras Studia Math 29 339-343

[3]

Żelazko W(1991)Generalizations of the Gleason-Kahane-Żelazko theorem Rocky Mount J Math 21 915-921

[4]

Jarosz K(1999)Some basic theories of random normed linear spaces and random inner product spaces Acta Anal Funct Appl 1 160-184

[5]

Guo TX(2011)Recent progress in random metric theory and its applications to conditional risk measures Sci China Ser A 54 633-660

[6]

Guo TX(2010)Relations between some basic results derived from two kinds of topologies for a random locally convex module J Funct Anal 258 3024-3047

[7]

Guo TX(undefined)undefined undefined undefined undefined-undefined

← 1 →