On tensor products of weak mixing vector sequences and their applications to uniquely E-weak mixing C*-dynamical systems

• 主要作者: Mukhamedov, Farrukh
• 格式: Article
• 语言: English
• 出版: Cambridge University Press 2012
• 主题: QA Mathematics
• 在线阅读: http://irep.iium.edu.my/15976/1/mf-BulAusMathSoc%282012%29.pdf; http://irep.iium.edu.my/15976/; http://dx.doi.org/10.1017/S0004972711002772

We prove that, under certain conditions, uniform weak mixing (to zero) of the bounded sequences in Banach space implies uniform weak mixing of its tensor product. Moreover, we prove that ergodicity of tensor product of the sequences in Banach space implies its weak mixing. Applications of the obtain...