S-Mixing Tuple of Operators on Banach Spaces. (20th October 2016)

• Record Type: Journal Article
• Authors: Wang, Wei; Shu, Yonglu; Wang, Xingzhong
• Other Names: Llorens-Fuster Enrique Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2016(2016)
• Publication Date: 2016-10-20
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2016/9251672
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : We consider the question: what is the appropriate formulation of Godefroy-Shapiro criterion for tuples of operators? We also introduce a new notion about tuples of operators, S -mixing, which lies between mixing and weakly mixing. We also obtain a sufficient condition to ensure a tuple of operators to be S -mixing. Moreover, we study some new properties of S -mixing operators on several concrete Banach spaces.