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http://dx.doi.org/10.4134/BKMS.2013.50.6.1973

THE WINTNER THEOREM IN UNITAL COMPLETE RANDOM NORMED ALGEBRAS  

Tang, Yuehan (College of Mathematics Physics and Information Engineering Jiaxing University)
Publication Information
Bulletin of the Korean Mathematical Society / v.50, no.6, 2013 , pp. 1973-1979 More about this Journal
Abstract
The main purpose of this paper is to give the Wintner theorem in unital complete random normed algebras which is a random generalization of the classical Wintner theorem in Banach algebras. As an application of the Wintner theorem in unital complete random normed algebras, we also obtain that the identity operator on a complete random normed module is not a commutator.
Keywords
random normed module; random normed algebra; random spectrum; Wintner theorem;
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